Find the exact value of cos1 1 Find the exact value of sin1

Find the exact value of cos^-1 (1). Find the exact value of sin^-1 (Squareroot 3/2). Find the exact value of cos^-1 (-1/2). Find the exact value of arctan (-Squareroot 3). Find the exact value of cot^-1 (-1). Find the exact value of sin^-1 (sin (5 pi/6)). Find the exact value of cos^-1 (cos (-pi/4))

Solution

1)cos^-1(1) =0

2) sin^-1(3_/2) =_/3

3) cos^-1(-1_/2) =- cos^-1(1_/2)=-(_/3)= 2_/3

4)arctan(-3)=-arctan(3) =-_/3

5)cot^-1(-1)=- cot^-1(1) =-(_/4) =3_/4

6)sin^-1(sin(5_/6))=sin^-1(1_/2)=_/6

7)cos^-1(cos(-_/4))=cos^-1(1_/2) =_/4