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Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by five. How do you do this? :/

Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by five. How do you do this? :/ class=

Verified Answer :

\(\theta= \frac{\pi}{5}\)
\(\\ \theta_1,\theta_2\) - coterminal angles

\(\\ \theta_1= \frac{\pi}{5} +2\pi= \frac{\pi}{5} + \frac{10\pi}{5}= \frac{11\pi}{5} \\ \\ \theta_2= \frac{\pi}{5} -2\pi= \frac{\pi}{5} - \frac{10\pi}{5}=- \frac{9\pi}{5}\)