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If ab lt 1 and cos ^(-1) ((1 - a ^(2))/(...

If `ab lt 1 and cos ^(-1) ((1 - a ^(2))/( 1 + a ^(2))) + cos ^(-1) ((1 - b ^(2))/( 1 + b ^(2)))= 2 tan ^(-1)x,` then x is equal to

A

`(1)/(1 + ab)`

B

`(a )/(1 - ab)`

C

`(a -b)/(1 + ab)`

D

`(a +b )/( 1 - ab)`

Text Solution

Verified by Experts

The correct Answer is:
D
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