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. The reference angle calculator finds the angle in the first quadrant which corresponds to the given angle.

How To Memorise Different Values Of Trigonometric Angles

1 radian is equal to 57 29 degrees so 2 5 57 28 114 59 degrees last we need to add 360 degrees to that angle to find an angle that is coterminal with the original angle so 114 59 360 475 59 degrees.

Reference angle calculator radians. It s as easy as entering the value of the angle in degrees and the calculator will determine the reference angle. Check the answer using the calculator above. First you must convert the radians to degrees.

The reference angle is defined as the acute angle between the terminal side of the given angle and the x axis. Solving for the reference angle in radians is much easier than trying to determine a trig function for the original angle. How to find reference angle in radians.

This calculator is convenient to use to find the first quadrant or acute angle for a given angle. The given angle may be in degrees or radians. The given angle may be in degrees or radians.

To compute the measure in radians of the reference angle for any given angle theta use the rules in the following table. Input your angle data to find the reference angle reference angle 80 how to find a reference angle in radians finding your reference angle in radians is similar to identifying it in degrees. 0 to π 2 first quadrant so reference angle angle π 2 to π second quadrant so reference angle π angle π to 3π 2 third quadrant so reference angle angle π 3π 2 to 2π fourth quadrant so reference angle 2π angle.

Finding reference angles in radians quadrant measure of angle theta measure of. For this example we ll use 28π 9 2.