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tan[tan^(-1)(1/(a+b))+tan^(-1)(b/(a^(2)+...

`tan[tan^(-1)(1/(a+b))+tan^(-1)(b/(a^(2)+ab+1))]=`

A

`a`

B

`1//a`

C

`b`

D

`1//b`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
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  5. IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(...

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  6. "tan"^(-1)1/3+"tan"^(-1)1/7+……+tan^(-1)(1/(n^(2)+n+1))=

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  7. Statement: I sin^(-1)x=x has only one solution Statement II: cos^(-1...

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  11. If sec^(-1)(1/(sqrt(1-x^(2))))+cot^(-1)((sqrt(1-x^(2)))/x)=sin^(-1)(k)...

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  12. If sin^(-1)x-cos^(-1)x=(pi)/6 then x=

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  13. If sin^(-1)(x)-cos^(-1)(x)=sin^-1(x-1) then x=

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  14. If sin^(-1)(x)+sin^(-1)(2x)=(pi)/3 then x=

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  15. cos^(-1)(x//a)+cos^(-1)(y//b)=theta,then (x^(2))/(a^(2))-(2xy)/(ab)cos...

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  16. If "Sec"^(-1)x/a-"Sec"^(-1)x/b="Sec"^(-1)b-Sec^(-1)a then x=

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  18. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4 then x=

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  19. If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=pi+tan^(-1)(-7), then x=

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