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Prove that sin[Cot^(-1) (2x)/(1-x^2)+Cos...

Prove that `sin[Cot^(-1) (2x)/(1-x^2)+Cos^(-1)((1-x^(2))/(1+x^(2)))]=1`.

A

0

B

1

C

`(x-y)/(1+xy)`

D

`(2x)/(1-x^(2))`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. tan[1/2"Sin"^(-1)(2a)/(1+a^(2))+1/2"Cos"^(-1)(1-a^(2))/(1+a^(2))]=

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  3. Prove that sin[Cot^(-1) (2x)/(1-x^2)+Cos^(-1)((1-x^(2))/(1+x^(2)))]=1.

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  4. The value of tan[Tan^(-1)(1/(a+b))+Tan^(-1)(b/(a^(2)+ab+1))] is

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