If `costheta=x` then `sectheta`=?
`(A) x`
`(B) sqrt(1-x^2)`
`(C) sqrt(x^2-1)`
`(D) 1/x`

Solve the equations. sin(tan^(-1)x),|x|<1 (a) x/(sqrt(1-x^2)) (B) 1/(sqrt(1-x^2)) (C) 1/(sqrt(1+x^2)) (D) x/(sqrt(1+x^2))

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))

(d)/(dx)[sin^(-1)(x sqrt(1-x)-sqrt(x)sqrt(1-x^(2)))] is

int(dx)/((sqrt(1+x^2)-x)^n)(n!=+-1)=1/2(z^(n+1)/(n+1)+z^(n+1)/(n+1))+C where (A) x-sqrt(1+x^2) (B) x+sqrt(1+x^2) (C) -x+sqrt(1+x^2) (D) x-sqrt(1-x^2)

Differential coefficient of sec(tan^(-1)x) is (x)/(1+x^(2))( b) x sqrt(1+x^(2))(c)(1)/(sqrt(1+x^(2))) (d) (x)/(sqrt(1+x^(2)))

If f(x)=sin^2x and the composite function g(f(x))=|sinx| , then g(x) is equal to sqrt(x-1) (b) sqrt(x) (c) sqrt(x+1) (d) -sqrt(x)

If 2x = sqrt(a) - (1)/(sqrt(a)) , then the value of (sqrt(x^(2) + 1))/(x + sqrt(x^(2) +1)) is

If x =1/2 (sqrt(a/b)-sqrt(b/a)) then prove that (2asqrt(1+x^2))/(x+sqrt(1+x^2))= a +b

If cos^-1( (x^2-1)/(x^2+1))+ tan^-1( (2x)/(x^2-1)) = (2pi)/3 , then x equal to (A) sqrt(3) (B) 2+sqrt(3) (C) 2-sqrt(3) (D) -sqrt(3)