Question

A positive angle less than 360 degrees that is coterminal with -5 degrees is

Answer 1

`\theta = 355`

Explanation:

Given

Let the angle be
`\theta`

`\theta < 360`

`\theta` is co-terminal with -5

Required

Find
`\theta`

Start by dividing 5 by 360 (ignore the negative)

`(5)/(360) = 0.0138`

The nearest integer greater than 0.0138 is 1.

This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time

So,
`\theta` is calculated as:

`\theta = -5 + 1*360`

`\theta = -5 +360`

`\theta = 355`