Home
Class 12
MATHS
The number of solutions of the equation ...

The number of solutions of the equation `sin^(-1)|x|=|cos^(-1)x|` are

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
`sin^(-1)|x|=|cos^(-1)x|`
or `sin^(-1)|x|=cos^(-1)x`
or `{{:(sin^(-1)x=cos^(-1)x",",x ge 0),(-sin^(-1)x=cos^(-1)x",",x lt 0):}`
Draw the graph of `y = sin^(-1)|x|` and `y = cos^(-1)x`

From the graph, there is only one solution.
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of solutions of the equation sin^(-1)x=(sinx)^(-1) is/are

The number of solution (s) of the equation sin^(-1)x+cos^(-1)(1-x)=sin^(-1)(-) is/are

Number of solution of the equation 2sin^(-1)(x+2)=cos^(-1)(x+3) is :

Number of solution of the equation sin((1)/(5)cos^(-1)x)=1 is

The number of solutions of the equation 2^(|x|)=1+2|cos x| is

Find the number of real solutions of the equation sin^(-1)(e^(x))+cos^(-1)(x^(2))=pi//2 .

The number of solutions of the equation sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x is

Find the number of solutions of the equation sin^(8)x+cos^(8)x=1 in the interval [-2 pi,2 pi]