How do you find special angle values using reference radians?

Answer 1

To find special angle values using reference radians, first identify the angle's reference angle, which is its acute angle equivalent in the first quadrant. For example, for an angle of ( \frac{5\pi}{4} ), the reference angle is ( \frac{\pi}{4} ). Then, use the known sine and cosine values of the reference angle, adjusting for the sign based on the quadrant in which the original angle lies. This method allows you to determine the exact trigonometric values for commonly encountered angles like ( \frac{\pi}{6} ), ( \frac{\pi}{4} ), and ( \frac{\pi}{3} ).