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.
[tex]\text { Now, } \frac{-5 \pi}{3} \text { radians }=\frac{-5 \pi}{3} \times \frac{180}{\pi} \text { degrees }[/tex]
[tex]=\frac{-5}{3} \times 180 \text { degrees }[/tex]
= -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.
