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

tan(cos^(-1)x) is equal to (x)/(1+x^(2)) b.(sqrt(1+x^(2)))/(x) c.(sqrt(1-x^(2)))/(x) d.sqrt(1-2x)

d/(dx)(sin^(-1)x+cos^(-1)x) is equal to : (A) (1)/(sqrt(1-x^(2))), (B) (2)/(sqrt(1-x^(2))), (C) 0 (D) sqrt(1-x^(2))

The derivative of cos^(-1)(2x^(2)-1) with respect to cos^(-1)x is ( a )2(b)(1)/(2sqrt(1-x^(2)))(c)/x(d)1-x^(2)

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

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

Let x=sin1^(0), then the value of the expression.(1)/(cos0^(0)cos1^(0))+(1)/(cos1^(0)cos2^(0))+(1)/(cos2^(0)cos3)+(1)/(cos44^(0)cos45^(@)) is equal to (a) x (b) (1)/(x) (c) (sqrt(2))/(x) (d) (x)/(sqrt(2))

If a sin x+b cos(x+theta)+b cos(x-theta)=d then the minimum value of |cos theta| is equal to (a) (1)/(2|b|)sqrt(d^(2)-a^(2))( b )(1)/(2|a|)sqrt(d^(2)-a^(2))(c)(1)/(2|d|)sqrt(d^(2)-a^(2))(d) none of these

sin(cot^(-1)(tan(cos^(-1)x))) is equal to a x b sqrt(1-x^(2)) c) (1)/(x) d) none of these

The value of int(sin x+cos x)/(sqrt(1-sin2x))dx is equal to sqrt(sin2x)+C(b)sqrt(cos2x)+C(c)+-sin x-cos x)+C(d)+-log(sin x-cos x)+C