Question

answer the following. (a) find an angle between 0° and 360° that is coterminal with 840°. (b) find an angle between 0 and 2π that is coterminal with $\frac{27pi}{10}$. give exact values for your answers. (a) ° (b) radians

Explanation:

Step1: Subtract 360° repeatedly

To find a coterminal angle of 840° between 0° and 360°, we subtract 360° from 840°. 840 - 360=480°, 480 - 360 = 120°.

Step2: Subtract 2π repeatedly

To find a coterminal angle of $\frac{27\pi}{10}$ between 0 and 2π, we note that $2\pi=\frac{20\pi}{10}$. $\frac{27\pi}{10}-2\pi=\frac{27\pi}{10}-\frac{20\pi}{10}=\frac{7\pi}{10}$.

Answer:

(a) 120°
(b) $\frac{7\pi}{10}$