1sin1 32 2sin1 12 3tan1 13 4tan1 1 5sinsin1 32 6csccos1 32 7

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

2-sin^(-1) (1/2)

3-tan^(-1) (1/3)

4-tan^(-1) (1)

5-sin(sin^(-1) (3/2))

6-csc(cos^(-1) (3/2))

7-cos(tan^(-1) (3))

8-sec(sin^(-1) (5/8))

9-tan(tan^(-1) (7/6))

10-cos^(-1) (sin(19/9))

Verify the following trigonometric identities.

11. (tan^3 ()-1)/(tan()-1)=sec^2 ()+tan()

12. (1-csc)/cot-cot/(1-csc)=2tan

13. 1+(1-cot^2 x)/(1+cot^2 x)=2sin^2 x

14. (sin()+cos())/(cos())-(sin()+cos())/cos() =tan()-cot()

1) y= sin^-1(sqrt3/2)

sin y = sqrt3/2

y = pi/3

2) y =sin^-1(1/sqrt2)

siny = 1/sqrt2

y = pi/4

3) y = tan^-1(1/sqrt3)

tany = 1/sqrt3

y = pi/6

4) y = tan^-1(1)

tany = 1

y = pi/4

5) y = sinsin^-1(sqrt3/2)

sin^-1y = sin^-1(sqrt3/2

y = sqrt3/2