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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.
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