Question

(a.) Find an angle between 0 and 2n="absmiddle" class="latex-formula"> that is coterminal with 27$\pi$ /10
(b) Find an angle between 0°and 360° that is coterminal with 1015° 

*give exact values for your answers*

Answer 1

To find a positive and a negative angle coterminal with a given angle, you can add and subtract 2π (360°).
$(a)\ \dfrac{27\pi}{10}-2\pi=\dfrac{27\pi}{10}-\dfrac{20\pi}{10}=\dfrac{7\pi}{10}$
$(b)\ 1015^o-2\cdot360^o=295^o$