Question

What is the value of Sin(31π/3)

Answer 1

= sin(31π/3)
= sin(10π+π/3)
= sin(π/3)
= √3/2 ( in quadrant 1 )

Hope this helps you!! :)

Answer 2

Given: $sin(\frac{31\pi }{3} )$

Therefore:

$sin(\frac{31\pi }{3} )=sin(31\times\frac{180}{3} )$

$=sin(31\times 60)$

$=sin(1860)$

$=sin(5\times360-60)$

$=sin(60)$

$=\frac{\sqrt{3} }{2}$

we get:

$sin(\frac{31\pi }{3} )=\frac{\sqrt{3} }{2}.$