Question

I am trying to exercise but can’t do number 6

Answer 1

`\begin{gathered} \text{Given} \\ (35\pi)/(9) \\ \text{Find coterminal angle in the interval }(0,2\pi) \end{gathered}`

Subtract 2π to the given angle as it is equivalent to one revolution.

`\begin{gathered} (35\pi)/(9)-2\pi \\ (35\pi)/(9)-(18\pi)/(9) \\ =(17\pi)/(9) \\ \\ \text{Subtracting further by }2\pi\text{ will result with coterminal angles outside the interval }(0,2\pi) \\ \\ \text{therefore, the coterminal angle of }(35\pi)/(9)\text{ in the interval }(0,2\pi)\text{ is } \\ (17\pi)/(9) \end{gathered}`