If -798 degrees is in standard position, determine a coterminal angle that is between 0 degrees & 360 degrees and state the quadrant in which the terminal side lies.

Question

asked Jun 26, 2020 73.3k views

2 Answers

Tibtof · Answer 1 · 2020-06-30T16:16:54+0000

Answer:

co-terminal angle is 282

angle must lie on fourth quadrant

Explanation:

we are given

angle as

$\theta=-798$

Since, we have to find co-terminal angle

and one complete rotation is 360

so, we will keep adding 360 till we get angle between 0 and 360

$\theta=-798+360$

$\theta=-438$

we will add 360 again

$\theta=-438+360$

$\theta=-78$

Since, it is negative

so, we will add 360 again

$\theta=-78+360$

$\theta=282$

so, co-terminal angle is 282

we can see that

this angle is greater than 270

so, angle must lie on fourth quadrant