Question

find the value of sin 31pi/3

Answer 1

=sin(31*180)/3
=sin(31*60)
=sin(1860)
=sin(1800+60)
=sin60
=(3^1/2)/2
=0.866

Answer 2

Answer:

sin 31pie/3=√3/2

Step-by-step explanation:

first we have to change value into degree from radian

31 pie/3 ×180/pie..........(1)

from solving 1 we get 1860°

so sin 1860° we can write in the form of

sin (90n +theta)

so we get ,

sin (90×20+60)........(here we multiply 90° by even no. so it is not considered and we can take only 60°)

sin 60°

and we know value of sin 60° =√3/2

hence answer is √3/2