`sin^-1x+cos^-1x`=`pi/2`

Prove that : sin^(-1)x+cos^(-1)x=pi/2 , if x in [-1,1]

Statement 1. If sin^-1 x=cos^-1 x, then x= 1/sqrt(2) , Statement 2. sin^-1 x+cos^-1 x= pi/2, 1lexlarr1 (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement-1: intsin^-1xdx+intsin^-1sqrt(1-x^2)dx=pi/2x+c Statement-2: sin^-1x+cos^-1x=pi/2 (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Prove that the identities, sin^-1 cos(sin^-1x)+cos^-1 sin(cos^-1x)=pi/2 , |x|<=1

If 4sin^(-1)x+cos^(-1)x=pi , then x is equal to

solve :sin^-1x+sin^-1 2x=pi/3

solve :sin^-1x+sin^-1 2x=pi/3

If |sin^(-1)x|+|cos^(-1)x|=pi/2,t hen (a) x inR (b) [-1,1] (c) [0,1] (d) varphi

If sin^(-1)x+2cos^(-1)x=(2pi)/3 , then find x.

It is given that A=(tan^(-1)x)^(3)+(cot^(-1)x)^(3) where x gt 0 and B=(cos^(-1)t)^(2)+(sin^(-1)t)^(2) where t in [0, (1)/(sqrt(2))] , and sin^(-1)x+cos^(-1)x=(pi)/(2) for -1 le x le 1 and tan^(-1)x +cot^(-1)x=(pi)/(2) for x in R . The interval in which A lies is :