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If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/...

If `sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x ,` then `x` is equal to `[a , b , in (0,1)]` (a)`(a-b)/(1+a b)` (b) `b/(1+a b)` (c) `b/(1+a b)` (d) `(a+b)/(1-a b)`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of tan^(-1).(4)/(7) + tan^(-1).(4)/(19) + tan^(-1).(4)/(39) ...

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  2. If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(...

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

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  4. If alpha=tan^(-1)((4x-4x^3)/(1-6x^2+x^2)),beta=2sin^(-1)((2x)/(1+x^2))...

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  5. Absolute value of sum of all integers in the domain of f(x)=cot^(-1)sq...

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  6. Solve the equation tan^(-1)2x+tan^(-1)3x=pi/4

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  7. Solve tan^(-1)x+sin^(-1)x=tan^(-1)2xdot

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  8. 2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),w h e r ex in R-{-1,1}, is equal to...

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  9. If alpha=3sin^-1(6/11) and beta=3cos^-1(4/9), where the inverse trigon...

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  10. Prove that: tan^(-1)x+tan^(-1)1/x={pi/2,ifx >0-pi/2,ifx<0

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  11. Find the value of sin^(-1)x+sin^(-1)1/x+cos^(-1)x+cos^(-1)1/xdot

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  12. Find the value of underset(r = 1)overset(10)sum underset(s = 1)overset...

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  13. If sin^(-1)xi in [0,1]AAi=1,2,3, .28 then find the maximum value of s...

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  14. Prove that cos^(-1)4/5 + cos^(-1)(12)/(13)=cos^(-1)(33)/(65)

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  15. If two angles of a triangle are tan^(-1)(2)a n dtan^(-1)(3), then find...

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  16. Find the value of tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A),

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  17. Simplify tan^-1[3sin2α/(5+3 cos⁡〖2 α〗 )] + tan-1[tan⁡α/4] , where -π/2...

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  18. Let (x , y) be such that sin^(-1)(a x)+cos^(-1)(y)+cos^(-1)(b x y)=pi/...

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  19. Matching.

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  20. sum(r=1)^nsin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1))))is equal to (a...

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