Question

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

Answer 1

Answer:

$\theta = 355$

Step-by-step 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)

$\frac{5}{360} = 0.0138$

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:

$\theta = -5 + 1*360$

$\theta = -5 +360$

$\theta = 355$