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

Question

asked Jan 13, 2022 41.3k views

1 Answer

Mushfiq · Answer 1 · 2022-01-17T00:32:43+0000

Answer:

$\theta = 355$

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:

$\theta = -5 + 1*360$

$\theta = -5 +360$

$\theta = 355$