What is the exact value of sin^-1 (1/2)??

1 Answer
May 28, 2018

sin^-1(1/2)=pi/6=30

Explanation:

suppose:

y=sin^-1(1/2)

lets take sin to both sides

siny=1/2

siny>0

siny is positive in the first and second quadrants.

from Definition of sin^-1x

-pi/2<=sin^-1x<=pi/2

sin^-1x lies in the first and forth quadrants.

the most common quadrant is the first one.

siny=1/2 rArr y=pi/6=30

y=sin^-1(1/2) rArr sin^-1(1/2)=pi/6=30