Question

on the unit circle., in standard position an angle of which measure is coterminal with an angle that measures 3pi/5 radians

Answer 1

Coterminal angles are angles with the same terminal sides.

`\theta\rightarrow\theta+2\pi\rightarrow\theta-2\pi`

For the given angle, the coterminal angles are;

`\begin{gathered} \theta=(3\pi)/(5) \\ \theta+2\pi=(3\pi)/(5)+2\pi=(3\pi)/(5)+(10\pi)/(5)=(13\pi)/(5) \\ \theta-2\pi=(3\pi)/(5)-2\pi=(3\pi)/(5)-(10\pi)/(5)=-(7\pi)/(5) \\ \theta+2(2\pi)=(3\pi)/(5)+4\pi=(3\pi)/(5)+(20\pi)/(5)=(23\pi)/(5) \end{gathered}`

From the given answer choices, the coterminal angle is;

`(23\pi)/(5)`