Question

Answer the following. (a) Find an angle between 0 and 2π that is coterminal with - 7π. (b) Find an angle between 0° and 360° that is coterminal with 990⁰. Give exact values for your answers.

Answer 1

Given:

Coterminal is:

`=-7\pi`

Angle between,

`0\text{ and }2\pi`

Angle between 0 and 360

Coterminal is 990

Find-:

(A)

Find an angle between 0 and 2π

(B)

Find an angle between 0° and 360°

Explanation-:

To get conterminal angles, simply add or subtract 2π

Angle is:

`\begin{gathered} =2\pi-\pi \\ \\ =\pi \end{gathered}`

(b)

So the angle is:

`\begin{gathered} =360-90. \\ \\ =270 \end{gathered}`