An angle in standard position measures −5π3 radians. In which quadrant does the terminal side of this angle lie?

Question

asked Jun 17, 2020 170k views

2 Answers

Grepe · Answer 1 · 2020-06-22T04:02:53+0000

Answer:

Solution:

Given, an angle in standard position measures −5π/3 radians.

We need to find in which quadrant does the terminal side of this angle lie.

First let us convert -5π/3 radians into degrees.

$\text { Now, } (-5 \pi)/(3) \text { radians }=(-5 \pi)/(3) * (180)/(\pi) \text { degrees }$

$=(-5)/(3) * 180 \text { degrees }$

= -5 x 60 degrees = -300 degrees

Here, -300 represents that terminal side is rotating in anti clock wise direction. So now to find the positive angle.

Positive angle = 360 – 300 = 60 degrees

We know that, 0 degrees < 60 degrees < 90 degrees

Hence, the terminal side of this angle lies in the first quadrant.