Home
Class 12
MATHS
If sin^(-1)x +sin^(-1)y =pi then cos^(-1...

If `sin^(-1)x +sin^(-1)y =pi` then `cos^(-1)x +cos^(-1)y` is :

A

`pi`

B

`(pi)/(2)`

C

0

D

`2pi`

Text Solution

Verified by Experts

The correct Answer is:
C
`sin^(-1)x =(pi)/(2) rArr x = "sin"(pi)/(2)=1`
`sin^(-1)y =(pi)/(2) rArr y = "sin"(pi)/(2) =1`
`:.cos^(-1)1+cos^(-1)1=0+0=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

If sin^(-1)x+sin^(-1)y=(pi)/(2), "then" cos^(-1)x+cos^(-1)y is equal to

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

If sin^(-1)x+sin^(-1)y=(2pi)/3 , then cos^(-1)x+cos^(-1)y is equal to

If sin^(-1) x + sin^(-1)y = pi//2 and cos^(-1) x - cos^(-1) y = 0 , then value x and y respectively

If sin^(-1)x+sin^(-1)y=pi//2 and cos^(-1)x-cos^(-1)y=0 , then values x and y are respectively

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