Solve `6sin(20)^@-8sin^3(20)^@`
`(a) 2`
`(b) 1/sqrt2`
`(c) sqrt3`
`(d) 1/sqrt2`

(sqrt8)^(1/3) = ? (a) 2 (b) 4 (c) sqrt2 (d) 2sqrt2

1. sin^(-1) (1/sqrt2) 2. cos^(-1) (sqrt3/2)

1. sin^(-1) (1/sqrt2) 2. cos^(-1) (sqrt3/2)

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

frac(cos60^@ + sin 60^@)(cos60^@- sin 60^@) is equal to (A) -(sqrt3 +2) (B) -1 (C ) (sqrt3 -2) (D) (sqrt3 + 2)

Delta ABC has a right angle at A. If BC = sqrt2 and AB = AC = 1 then sin B is equal to (a) (1)/(sqrt2) (b) sqrt2 (c) (sqrt3)/(2) (d) sqrt3

Sin (A + B) = 1/(sqrt2) Cos(A - B) = (sqrt3)/2

Solution set of inequation ( cos^-1x)^2-(sin^-1x)^2gt0 is (A) [0, 1/sqrt(2)) (B) [-1, 1/sqrt(2)) (C) (-1,sqrt2) (D) none of these

Solve : sin^(-1)( x) + sin^(-1)( 2x) = sin^(-1)(sqrt(3)/2) .

The value of sin(sin^-1 (1/2)+ cos ^-1 (1/3)) is equal to (A) (sqrt(3)+sqrt(8)/6 (B) (1+2sqrt(6))/6 (C) - (1+2sqrt(6))/6 (D) 0