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show that tan^(-1)(1/2)+tan^(-1)(2/11)=t...

show that `tan^(-1)(1/2)+tan^(-1)(2/11)=tan^(-1)(3/4)`

Text Solution

Verified by Experts

The correct Answer is:
`a rarr q, b rarr s, c rarr s, d rarr p`
For solution, see the theory of ambiguous cases
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show that tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3)/(1-3x^2)),|x|<1/sqrt3

tan^(-1) (1/2)+ tan^(-1) (1/3) -

Knowledge Check

  • If 0leAle(pi)/(4)," then " tan^(-1)((1)/(2)tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A) is equal to

    A
    `(pi)/(4)`
    B
    `pi`
    C
    0
    D
    `(pi)/(2)`

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