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

If sin^-1(1/3)+sin^-1 (2/3)= sin^-1 x then x is equal to (A) (4+sqrt(5)/9 (B) (4sqrt(2)+sqrt(5)/9 (C) (sqrt(3)+1)/6 (D) 1

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))

the value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqrt(3)))^(6) is

A solution of sin^-1 (1) -sin^-1 (sqrt(3)/x^2)- pi/6 =0 is (A) x=-sqrt(2) (B) x=sqrt(2) (C) x=2 (D) x= 1/sqrt(2)

The value of 2cos^(-1)sqrt((2)/(3))-2cos^(-1).(sqrt6+1)/(2sqrt3) is equal to

sqrt((4)/(3))-sqrt((3)/(4))=?(4sqrt(3))/(6) (b) (1)/(2sqrt(3))(c)1(d)-(1)/(2sqrt(3))

The value of cos(2cos^-1x+sin^-1x) at x= 1/5 is (A) 1 (B) 3 (C) 0 (D) (-2sqrt(6))/5

The value of (1)/( sqrt(7) - sqrt(6)) - (1)/( sqrt(6) - sqrt(5) ) +(1)/( sqrt(5) -2) - (1)/( sqrt(8) - sqrt(7) ) +(1)/( 3- sqrt(8)) is

If alpha is a root of equation (1) and beta is a root of (2), ten tanalpha+tanbetas may be equal to (A) 1+sqrt(69)/6 (B) 1+2sqrt(69)/6 (C) (3+sqrt(69))/6 (D) (-3-sqrt(69))/3

sqrt(6-4sqrt(3)+sqrt(16-8sqrt(3))) is equal to 1-sqrt(3) b.sqrt(3)-1 c.2(2-sqrt(3)) d.2(2+sqrt(3))