Radian Reference Angle CalculatorTo convert degrees to radians, multiply the degree value by π/180. For this example, we'll use 28π/9 2. Finding your reference angle in radians is similar to identifying it in degrees. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. Trigonometry Radian Measure and Circular Functions Find the Reference Angle 11π 3 11 π 3 Find an angle that is positive, less than 2π 2 π, and coterminal with 11π 3 11 π 3. We hope the free online tool in the Reference Angle Calculator has been useful to you. Note that there are rounding errors in these. Radians start being used in geometry and trig as you start using the unit circle. Example 3 Find the reference angle for 330° Solution: 330° lies in fourth quadrant. If your angle is larger than 2π, take away the. It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. When the terminal side is in the first quadrant (angles from 0° to 90° or from 0 to π/2), the reference angle is the same as the given angle. Use our suplementary angle calculator to find the exact value of the suplement of 59π/360 radian or the suplement of any angle in degrees or in radians. Example 3 Find the reference angle for 330° Solution: 330° lies in fourth quadrant. Hit the calculate button. The reference angle is defined as the acute angle between the. Find the Reference Angle (49pi)/2 | Mathway Trigonometry Examples Popular Problems Trigonometry Find the Reference Angle (49pi)/2 49π 2 49 π 2 Find an angle that is positive, less than 2π 2 π, and coterminal with 49π 2 49 π 2. Current use: The degree is widely used when referencing angular measures. Substitute your angle into the equation to find the reference angle: reference angle = 250° - 180° = 70°. How to convert radians to degrees? To convert radians to degrees, multiply the radian value by 180/π. Note that there are rounding errors in these values. Calculate the coordinates for a point on the unit circle given the central angle in radians or degrees. [4] A similar calculation using the area of a circular sector θ = 2A/r2 gives 1 radian as 1 m 2 /m 2. You write down problems, solutions and notes to go back Read More Save to Notebook!. If the two radii form an angle of θ, measured in radians, then θ 2 π is the ratio of the angle measure to the measure of a full rotation and is also, therefore, the ratio of the area of the sector to the area of the circle. This online calculator finds the reference angle and the quadrant of a trigonometric a angle in standard position. One radian corresponds to the angle for which s = r, hence 1 radian = 1 m/m. How do you find the reference angle for the following angle: -386 degrees? Using the periodic properties of trigonometric functions, how do you find the exact value of the expression: #tan 17pi#? Using the unit circle, how do. To find the suplement of an angle, say ' y ', when expressed in degrees, use the formula below: Suplement of y. When the terminal side is in the second quadrant (angles from 90° to 180° or from π/2 to π), our reference angle is 180° minus our given angle. 180° to 270°: reference angle = angle - 180°, 270° to 360°: reference angle = 360° - angle. 14 180 Angle In Radians = 2. How to calculate the sine of an angle? If the angle is known, then simply use our sine calculator which supports input in both degrees and radians. You might be more used to measuring angles with degrees, in which case it should help to think of radians as a different sized unit to measure the same thing. You might need: Calculator. Tap for more steps 5π 3 5 π 3 Since the angle 5π 3 5 π 3 is in the fourth quadrant, subtract 5π 3 5 π 3 from 2π 2 π. 01745329 radians) = 57. This free triangle calculator computes the edges, angles, area, height, perimeter, median, as well as other values and a diagram of the resulting triangle. First, we will convert the given angle in radians: Angle In Radians = Angle In Degrees ∗ π 180 Angle In Radians = \ (123o\) ∗ 3. Step by Step Solver to Find Coterminal Angle to a Given Angle. Crack SSC CGL & Other SSC Exams with India's Super Teachers. Use inverse trigonometric functions to find the solutions, and check for extraneous solutions. When the terminal side is in the first quadrant (angles from 0° to 90° or from 0 to π/2), the reference angle is the same as the given angle. To find the suplement of an angle, say ' y ', when expressed in degrees, use the formula below: Suplement of y ° = 180° - y. Reference angle° = angle Terminal side is in the second quadrant When the terminal side is in the second quadrant (angles from 90° to 180° or from π/2 to π), our reference angle is 180° minus our given angle. 145rad As the given a le lies in the second quadrant, using reference angle formula: Reference Angle = π- Angle Reference Angle = 3. In this case, we need to choose the formula reference angle = angle - 180°. Radian Conversion - Calculation Calculator Radian Conversion Convert Radian to other Angle Units 1 Radian is equal to 1 Radian Radian The radian is the SI unit for angle measurement and is the standard unit of angular measure used in many areas of mathematics. Finding reference angles (Examples) Terminal side is in the first quadrant. To use the reference angle calculator, simply enter any angle into the angle box to find its reference angle, which is the acute angle that corresponds to the angle entered. Suplementary angles formulae. To solve a trigonometric simplify the equation using trigonometric identities. Since the angle 5π 3 5 π 3 is in the fourth quadrant, subtract 5π 3 5 π 3 from 2π 2 π. 5 pi → sin (pi rad) = 0 3pi/4 → sin (3pi/4) = 0. 295779513° The angle α in degrees is equal to the angle α in radians times 180 degrees divided by pi constant: α (degrees) = α (radians) × 180° / π or degrees = radians × 180° / π Example Convert 2 radians angle to degrees:. To convert an angle from degrees to radians, just multiply the angle value by (π/180). What is a vector angle? A vector angle is the angle between two vectors in a plane. org%2fcalculators%2freference-angle-calculator%2f/RK=2/RS=4dACDso3KAxvGkXf. What is a vector angle? A vector angle is the angle between two vectors in a plane. Step 3: The angle from step 2 serves as the specified angle's reference angle. How to calculate the sine of an angle? If the angle is known, then simply use our sine calculator which supports input in both degrees and radians. A radian is a unit of measurement for angles. 01745329252 rad The angle α in radians is equal to the angle α in degrees times pi constant divided by 180 degrees: α (radians) = α (degrees) × π / 180° or radians = degrees × π / 180° Example Convert 30 degrees angle to radians:. You’ll also get the sine, cosine, and tangent in the results. The calculator automatically applies the rules we'll review below. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. Example: Find the reference angle of 480°. How do you find the vector angle with the x-axis? For a vector that is represented by the coordinates (x, y), the angle theta between the vector and the x-axis can be found using the following formula: θ = arctan (y/x). Trigonometry. radians = π/180° * degrees That means the radians to degrees formula is predictable: degrees = 180°/π * radians Let's look at an example: What is a 300° angle in radians? radians = π/180° * 300° = ⁵⁄₃π rad And now you know how to convert degrees to radians! How to convert degrees minutes seconds to decimal degrees?. Underneath the calculator, the six most popular trig functions will appear - three basic ones: sine, cosine, and tangent, and their reciprocals: cosecant, secant, and cotangent. 295779513 degrees: 1 rad = 180°/π = 57. If your angle is larger than 2π, take away the multiples of 2π until you get a value that’s smaller than the full angle. Calculator use To use this calculator, just type a value for the angle. The given angle may be in degrees or radians. To find the trigonometric functions of an angle, enter the chosen angle in degrees or radians. You may choose radians (rad) or degrees (°) as the angle unit. Since the angle 5π 3 5 π 3 is in the fourth quadrant, subtract 5π 3 5 π 3 from 2π 2 π. One degree is equal 0. The formula for reference angle in second quadrant is: α R = 360° – α When: α R = 360° – 330° = 30°. To find the trigonometric functions of an angle, enter the chosen angle in degrees or radians. To find this answer on the unit circle, we start by finding the sin and cos values as the y-coordinate and x-coordinate, respectively: sin 30° = 1/2 and cos. Calculate the coordinates for a point on the unit circle given the central angle in radians or degrees. 4π 3 − π 4 π 3 - π Simplify the result. What is a radian? A radian is a unit of measurement for angles. Show more Related Symbolab blog posts. One radian is approximately equal to 57. When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle. 14 180 Angle In Radians = 2. For this example, we’ll use 28π/9 2. When the terminal side is in the second quadrant (angles from 90° to 180° or from π/2 to π), our reference angle is 180° minus our given angle. A half revolution (180°) is equivalent to π radians. Finding reference angles (Examples) Terminal side is in the first quadrant. One radian is approximately equal to 57. Then, write the equation in a standard form, and isolate the variable using algebraic manipulation to solve for the variable. Find the Reference Angle. 2π− 5π 3 2 π - 5 π 3 Simplify the result. For example: The reference angle of 290 is 290 - 180 = 70°. Output: This calculator will show the results according to the tangent formula: It will display the tangent value for a given angle in degrees or radians (pi or m radian). Finding your reference angle in radians is similar to identifying it in degrees. Example 1: The suplementary angle of 1/3π radian = π - 1/3π = 2π/3 rad. A 360 degree angle is the same as a 2pi radian angle. radians = degrees × π / 180° Example. TI-83/84 PLUS BASIC MATH PROGRAMS (TRIGONOMETRY) Archive Statistics Click a filename to download that file. TI-83/84 PLUS BASIC MATH PROGRAMS (TRIGONOMETRY) Archive Statistics Click a filename to download that file. For radian measurements, such as those below, use the following guide to help you find the reference angles. A full revolution (360°) equals 2π radians. Now select radian, degree, m radian, or π radian from the drop-down menu. Reference angle° = angle. To find the reference angle for Determine the quadrant in which the terminal side lies. Angle (θ): Solution: x = cos (θ) y = sin (θ) tan (θ) Learn how we calculated this below Add this calculator to your site On this page: Calculator What is the Unit Circle. Reference angle° = 360 - angle. Radian Measure and Circular Functions. See full list on piday. To convert an angle from degrees to radians, just multiply the angle value by (π/180). You can find the central angle of a circle using the formula: θ = L / r where θ is the central angle in radians, L is the arc length, and r is the radius. You might be more used to measuring angles with degrees, in which case it should help to think of radians as a different sized unit to measure the same thing. Trig calculator finding sin, cos, tan, cot, sec, csc. 145 Reference Angle = 0. 707 1/(2pi) →sin(1/(2pi)rad) = 0. Find the Reference Angle. Find the reference angle for 540°. Reference angle° = 180 - angle. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. 180° to 270°: reference angle = angle - 180°, 270° to 360°: reference angle = 360° - angle. It measures the size of an angle as the ratio of the length of the arc cut out by the angle on a circle, to the radius of the circle. 158 (note the parenthesis in denominator). To convert degrees to radians, multiply the degree value by π/180. Find the Reference Angle (10pi)/3 10π 3 10 π 3 Find an angle that is positive, less than 2π 2 π, and coterminal with 10π 3 10 π 3. Find the Reference Angle (7pi)/6 | Mathway Trigonometry Examples Popular Problems Trigonometry Find the Reference Angle (7pi)/6 7π 6 7 π 6 Since the angle π π is in the third quadrant, subtract π π from 7π 6 7 π 6. So, if our given angle is 60°, then its reference angle is also 60°. radians; the. Tap for more steps 4π 3 4 π 3 Since the angle π π is in the third quadrant, subtract π π from 4π 3 4 π 3. What is 180 degrees in radians? 180 degrees is equal to π radians. Use the central angle calculator to find arc length. Finding reference angles (Examples) Terminal side is in the first quadrant. To compute the measure (in radians) of the reference angle for any given angle theta, use the rules in the following table. In this case, we need to choose the formula reference angle = angle - 180°. Icon legend: File with screen shots File with animated screen shots File with reviews Featured programs. The steps to calculate the reference angle are here: Firstly, find the coterminal angle for the given angle that lies between 0° to 360°. radians = π/180° * degrees That means the radians to degrees formula is predictable: degrees = 180°/π * radians Let's look at an example: What is a 300° angle. 48° x (π/180) Central Angle = 69. 360\degree / 4 = 90\degree 360°/4 = 90°. Reference angle° = 180 - angle For example: The reference angle of 125 is 180 - 125 = 55°. Reflex Reference. To go from degrees to radians: multiply by π, divide by 180. The formula for reference angle in second quadrant is: α R = α – 180° When: α R = 200° – 180° = 20° Therefore, the reference angle for 200° is 20°. Radian Conversion - Calculation Calculator Radian Conversion Convert Radian to other Angle Units 1 Radian is equal to 1 Radian Radian The radian is the SI unit for angle measurement and is the standard unit of angular measure used in many areas of mathematics. Conic Sections: Ellipse with Foci. 1 radian = 1 radian * (1 degree / 0. radians = π/180° * degrees That means the radians to degrees formula is predictable: degrees = 180°/π * radians Let's look at an example: What is a 300° angle in radians? radians = π/180° * 300° = ⁵⁄₃π rad And now you know how to convert degrees to radians! How to convert degrees minutes seconds to decimal degrees?. A r = | -30° | = 30° Exercises: Find the reference angle to angles 1. Follow the steps to use the Reference Angle Calculator Step1: Enter the angle in the appropriate field. Conic Sections: Parabola and Focus. The reference angle is always between 0 0 and \frac {\pi} {2} 2π radians (or between 0 0. Step 3: The output field will display the reference angle for the specified angle. 29578 degrees we can now find the conversion factor for converting back. One radian is the measure of the central angle of a circle such that the length of the arc between the initial side and the terminal side is equal to the radius of the circle. What is 180 degrees in radians? 180 degrees is equal to π radians. We may determine reference angles for any given angle in this way. The abbreviation for radian is rad, c or r. Step 2: To obtain the outcome, click the "Calculate. Solutions; Graphing; Practice; Geometry is a trigonometric function that relates the ratio of the length of the side opposite a given angle in a right-angled triangle to the length of the side adjacent to that angle. Free trigonometric function calculator - evaluate trigonometric functions step-by-step. What is tan 30 using the unit circle? tan 30° = 1/√3. Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. The reference angle is defined as the acute angle between the terminal side of the given angle and the x axis. A radian is a unit of measurement for angles. Reference Angle Calculator. To find the suplement of an angle, say ' x ', when expressed in radians, use the formula below: Suplement of x rad = π - x. Reference Angle = Initial Angle – 180 ° Reference Angle = 240 ° – 180 ° Reference Angle = 60 ° The reference angle of 240° is 60° 3. This is because the radian is based on the number π. When radians are selected as the angle unit, it can take values such as pi/2, pi/4, etc. It uses functions such as sine, cosine, and tangent to describe. A 360 degree angle is the same as a 2pi radian angle. Finding your reference angle in radians is similar to identifying it in degrees. When finding reference angles, it can be helpful to keep in mind that the positive x-axis is 0° (and 360° or 0 radians (and 2π radians); the positive y-axis is 90° or. sinθ (sine) cosθ (cosine) tanθ (tangen) sinθ cosθ tanθ cscθ (cosecant) secθ (secant) cotθ (cotangent) cscθ secθ cotθ. Once you have measured the angle, or looked up the plan or schematic, just input the measurement and press "calculate". Radians start being used in geometry and trig as you start using the unit circle. Here is a table of equivalent values: Degrees. As a result, 80° is the reference angle for 480°. Trig calculator finding sin, cos, tan, cot, sec, csc. Follow the steps to use the Reference Angle Calculator Step1: Enter the angle in the appropriate field. A radian is a unit of measurement for angles. Suplementary angles formulae. Otherwise, check whether it is closest to 180° or 360° and by how much. Step 3: The output field will display the reference angle for the specified angle. To use the reference angle calculator, simply enter any angle into the angle box to find its reference angle, which is the acute angle that corresponds to the angle entered. Step by Step Solver to Find the Reference Angle to a Given Angle. 29578 degrees And we now have our factor for conversion from radians to degrees since 1 * 57. Radians are used to measure angles. For angles in other quadrants, reference angles are calculated this way: Figure %: How to calculate the reference angle β for any angle θ between 0 and 2Π radians. You might be more used to measuring angles with degrees, in which case it should help to think of radians as a different sized unit to. Once you have measured the angle, or looked up the plan or schematic, just input the measurement and press "calculate". Solution : Because the initial angle in this problem is greater than 360°, we must subtract 360° from it until the initial angle is less than or equal to 360°. 180° to 270°: reference angle = angle - 180°, 270° to 360°: reference angle = 360° - angle. Angle Unit: Note that the variables used are in reference. Find the Reference Angle (7pi)/6 | Mathway Trigonometry Examples Popular Problems Trigonometry Find the Reference Angle (7pi)/6 7π 6 7 π 6 Since the angle π π is in the third quadrant, subtract π π from 7π 6 7 π 6. Terminal side is in the fourth quadrant. Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. To use this calculator, just type a value for the angle. Click a folder name to view files in that folder. 145rad As the given a le lies in the second quadrant, using reference angle formula: Reference Angle = π– Angle Reference Angle = 3. and click the "Calculate" button. One radian corresponds to the angle for which s = r, hence 1 radian = 1 m/m. To use the reference angle calculator, simply enter any angle into the angle box to find its reference angle, which is the acute angle that corresponds to the angle entered. Show more; radians-to-degrees-calculator. 6 To Find Trigonometric Values of an Angle: Determine the quadrant where the terminal side is located Find the reference angle From the quadrant, determine if the value’s sign is + or -. Enter the angle for which you want to tangent value. To find the suplement of an angle, say ' x ', when expressed in radians, use the formula below: Suplement of x rad = π - x. Reference Angle Calculator. (approximately) To go from radians to degrees: multiply by 180, divide by π. Radian Measure and Circular Functions. First, we will convert the given angle in radians: Angle In Radians = Angle In Degrees ∗ π 180 Angle In Radians = \ (123o\) ∗ 3. Tap for more steps π 2 π 2 Since π 2 π 2 is in the first quadrant, the reference angle is π 2 π 2. The formula for reference angle in second quadrant is: α R = α – 180° When: α R = 200° – 180° = 20° Therefore, the reference angle for 200° is 20°. For angles greater than 2Π radians, simply subtract 2Π from them, and then use the chart above to calculate the accompanying reference angle. To compute the measure (in radians) of the reference angle for any given angle theta, use the rules in the following table. 14/180) Central Angle = 69. (use pi in place of π) 6digit 10digit 14digit 18digit 22digit 26digit 30digit 34digit 38digit 42digit 46digit 50digit. 180° to 270°: reference angle = angle - 180°, 270° to 360°: reference angle = 360° - angle. 017Dradians Given radians (R) 57. Trigonometry Radian Measure and Circular Functions Find the Reference Angle 11π 3 11 π 3 Find an angle that is positive, less than 2π 2 π, and coterminal with 11π 3 11 π 3. Calculus: Fundamental Theorem of Calculus. Reference angle° = angle Terminal side is in the second quadrant When the terminal side is in the second quadrant (angles from 90° to 180° or from π/2 to π), our reference angle is 180° minus our given angle. 48 degrees Now you need to add 360 degrees to find an angle that will be coterminal with the original angle:. Recall that the area of a circle with radius r can be found using the formula A = πr2. 01745329252 radians: 1° = π/180° = 0. For radian measurements, such as those below, use the following guide to help you find the reference angles. Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle', and μέτρον (métron) 'measure') is a branch of mathematics concerned with relationships between angles and ratios of lengths. To convert degrees to radians, multiply the degree value by π/180. This online calculator finds the reference angle and the quadrant of a trigonometric a angle in standard position. Alternatively, if the angle is unknown, but the lengths of the two sides of a right angle triangle are known, calculating the cotangent is just a matter of dividing the adjacent by the opposite side. Solution: Given angle is 480° The coterminal angle is 480° - 360° = 120°. [7] However, rad is only to be used to express angles, not to express ratios of lengths in general. 5 radians) then you need to convert it into degrees: 1 radian = 57. Find an angle that is positive, less than 2π 2 π, and. Example 34° 24' 16'' This is read as "34 degrees 24 minutes 16 seconds". Type a value like: 60, -30, pi/3, 3pi/2, etc. When an angle is drawn on the coordinate plane with a vertex at the origin, the reference angle is the angle between the terminal side of the angle and the x x -axis. Step 2: To obtain the outcome, click the "Calculate Reference Angle" button now. For example: The reference angle of 125 is 180 - 125 = 55°. Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle', and μέτρον (métron) 'measure') is a branch of mathematics concerned with relationships between angles and ratios of lengths. A = - π / 7 Solutions to Above Exercises: 1. The default unit is degree (°) Examples of accepted input values 30 → sin (30°) = 0. Where does the central angle formula come from? The simplicity of the central angle formula originates from the definition of a radian. If your angle is larger than 2π, take away the multiples of 2π until you get a value that's smaller than the full angle. How do you find the reference angle for the following angle: -386 degrees? Using the periodic properties of trigonometric functions, how do you find the exact value of the expression: #tan 17pi#? Using the unit circle, how do you find the value of the trigonometric function: #sec - (pi/2)#?. Step 2: To obtain the outcome, click the "Calculate Reference Angle" button now. Conic Sections: Parabola and Focus. Show more Related Symbolab blog posts My Notebook, the Symbolab way Math notebooks have been around for hundreds of years. Step 3: The angle from step 2 serves as the specified angle's reference angle. Given an angle whose measure is D degrees or R radians: Exact Approximate Given degrees (D) 0. Knowing that 1 radian = 57. 295779513° The angle α in degrees is equal to the angle α. To solve a trigonometric simplify the equation using trigonometric identities. It measures the size of an angle as the ratio of the length of the arc cut out by the angle on a circle, to the radius of the circle. Calculus: Integral with adjustable bounds. If you know the angle, then it is a simple calculation of the ratio between the two sides that is required to produce such an angle. Then convert the central angle into radians 90\degree = 1. Substitute your angle into the equation to find the reference angle: reference angle = 250° - 180° = 70°. A r = π / 7 More references on angles. Convert the angle \theta=180^\circ θ = 180∘ to radians. The default unit is degree (°) Examples of accepted input values 30 →sin(30°) = 0. You can try the final calculation yourself by rearranging the formula as: L = \theta \cdot r L = θ ⋅ r. 1 radian = 1 radian * (1 degree / 0. 707 1/ (2pi) → sin (1/ (2pi) rad) = 0. Degrees: Radians: Convert Common angles in degrees and radians. Find an angle that is positive, less than 2π 2 π, and coterminal with 11π 3 11 π 3. Calculator use To use this calculator, just type a value for the angle. How to convert radians to degrees? To convert radians to degrees, multiply the radian value by 180/π. This form is used in astronomy and defining latitude and longitude. Each degree is divided into 60 minutes, and each minute further divided into 60 seconds. How do you find the vector angle with the x-axis? For a vector that is represented by the coordinates (x, y), the angle theta between the vector and the x-axis can be found using the following formula: θ = arctan (y/x). In this case, we need to choose the. Pi radians are equal to 180 degrees: π rad = 180° One radian is equal 57. Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle', and μέτρον (métron) 'measure') is a branch of mathematics concerned with relationships between angles and ratios of lengths. Angles Calculator - find angle, given angles. Step 2: To obtain the outcome, click the "Calculate Reference Angle" button now. Terminal side is in the fourth quadrant. Find the Reference Angle (49pi)/2 | Mathway Trigonometry Examples Popular Problems Trigonometry Find the Reference Angle (49pi)/2 49π 2 49 π 2 Find an angle that is positive, less than 2π 2 π, and coterminal with 49π 2 49 π 2. 7π 6 − π 7 π 6 - π Simplify the result. The given angle may be in degrees or radians. This calculator is used to add and subtract angles in the form Degrees - Minutes - Seconds (DMS). While the degree might be more prevalent in common usage, and many people have a more practical understanding of angles in terms of degrees, the radian is the preferred measurement of angle for most math applications. Find an angle that is positive, less than 2π 2 π, and coterminal with 11π 3 11 π 3. You can find the central angle of a circle using the formula: θ = L / r where θ is the central angle in radians, L is the arc length, and r is the radius. The formula for reference angle in second quadrant is: α R = 360° – α When: α R = 360° – 330° = 30°. Calculate the coordinates for a point on the unit circle given the central angle in radians or degrees. degrees = radians * 180 / π. com/_ylt=AwrNZjDZFmFk5w4qE1hXNyoA;_ylu=Y29sbwNiZjEEcG9zAzIEdnRpZAMEc2VjA3Ny/RV=2/RE=1684113242/RO=10/RU=https%3a%2f%2fwww. 360\degree / 4 = 90\degree 360°/4 = 90°. 29578 degrees And we now have our factor for conversion from radians to degrees since 1 * 57. The calculator automatically applies the rules we’ll review below. One radian is equal 57. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Angle (θ): Solution: x = cos (θ) y = sin (θ) tan (θ) Learn how. 57 rad (use our angle converter if you don't remember how. Radians are used to measure angles. 5 pi →sin(pirad) = 0 3pi/4 →sin(3pi/4) = 0. What is a basic trigonometric equation?. The angle from above step is the reference angle for the angle. Our cotangent calculator accepts input in degrees or radians, so once you have your angle measurement, just type it in and press "calculate". To find the reference angle for.