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tan ^(-1)((1)/(x+y))+tan ^(-1)((y)/(x^(2...

`tan ^(-1)((1)/(x+y))+tan ^(-1)((y)/(x^(2)+x y+1))=`

A

`tan ^(-1) x`

B

`cot ^(-1) x`

C

`tan ^(-1) y`

D

`cot ^(-1) y`

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x

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  2. If sum(r=1)^(infty) tan ^(-1)((1)/(2 r^(2)))=t then tan t is equal to

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  3. If sin^(-1) ((2a)/(1+a^2))+cos^(-1) ((1-a^2)/(1+a^2))=tan^(-1) ((2x)/(...

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  4. The solution set of the equation sin ^(-1) x=2 tan ^(-1) x is

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  5. Let (x, y) be such that sin ^(-1)(alpha x)+cos ^(-1) y+cos ^(-1)(b x y...

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  6. Let cos (2 tan ^(-1) x)=(1)/(2) then the value fo x is

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  7. The value of x where x gt 0 and tan (sec ^(-1)((1)/(x)))=sin (tan ^(-1...

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  8. If sin ^(-1) (3)/(x)+sin ^(-1) (4)/(x)=(pi)/(2) then x=

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  9. If tan ^(-1) ((a)/(x))+tan ^(-1) ((b)/(x))=(pi)/(2), then x=

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  10. sin ^(-1)[cot ((sin ^(-1) sqrt((2-sqrt(3))/(4)))+cos ^(-1) (sqrt(12))/...

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  11. The principal value of sin ^(-1)(tan (-(5 pi)/(4))) is

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  12. If sec ^(-1) x=cosec^(-1) y then cos ^(-1) (1)/(x)+cos ^(-1) (1)/(y)=

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  13. sin (2 sin^(-1) sqrt((63)/(65)))=

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  14. cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(-1)(2.3)^(2)+………… up to oo =

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  15. If agtbgt0,sec^(-1)((a+b)/(a-b))=2"sin"^(-1)x, then x =

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  16. If tan^(-1)x=(pi)/(4)-tan^(-1)((1)/(3)), then x is

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  17. If x takes negative permissible value, then sin^(-1)x is equal to

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  18. The value of sin [cot^(-1) {cos (tan^(-1)x)}] is :

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  19. If cos ^(-1) x+cos ^(-1) y+cos ^(-1) z=3 pi then x y+y z+z x=

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  20. tan ^(-1)((1)/(x+y))+tan ^(-1)((y)/(x^(2)+x y+1))=

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