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 cos(cos^-1x+sin^-1(x-2)) is equal to (A) 0 (B) 1 (C) -1 (D) sqrt(1-x^2).sqrt(x^2-4x+3) +x (x-2)

the value of cos(cos^-1x+sin^-1(x-2)) is equal to (A) 0 (B) 1 (C) -1 (D) sqrt(1-x^2).sqrt(x^2-4x+3) +x (x-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

If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(sqrt(2)) (c) (sqrt(3))/2 (d) 2/(sqrt(3))

The minimum values of sin x + cos x is a) sqrt2 b) -sqrt2 c) (1)/(sqrt2) d) - (1)/(sqrt2)

At x= (5pi)/(6), the value of 2 sin 3x+ 3 cos 3x is............. A) 0 B) 1 C) -1 D) None of these

If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+3 cos ^(8) x + cos ^(6) x-2 is equal to ............. A) 0 B) 1 C) -1 D) 2

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)

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)