Question

Let theta equal -9 pi over four what is a coterminal angle of data such that zero is less than or equal to theta is less than or equal to two pi

Answer 1

Given the angle:

`\theta=-(9\pi)/(4)`

Let's find the coterminal angles such that 0 ≤ θ ≤ 2π.

To findtjh coterminal angles, we have:

`\begin{gathered} -(9\pi)/(4)-2\pi \\ \\ =(-9\pi-8\pi)/(4)=-(17)/(4)\pi \end{gathered}`
`\begin{gathered} 2\pi+(9\pi)/(4) \\ \\ (8\pi+9\pi)/(4) \\ \\ =(17\pi)/(4) \end{gathered}`

Therefore, the coterminal angles are:

`-(17\pi)/(4),(17\pi)/(4),-(9\pi)/(4)`

ANSWER:

`-(17\pi)/(4), (17\pi)/(4), -(9\pi)/(4)`