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

If `alpha=tan^(-1)((4x-4x^3)/(1-6x^2+x^2)),beta=2sin^(-1)((2x)/(1+x^2))` and `tanpi/8=k ,` then (a) `alpha+beta=pi` for `x in [(1,1)/k]` (b)`alpha+beta` for `x in (-k , k)` (c) `alpha+beta=pi` for`x in [(1,1)/k]` (d) `alpha+beta=0` for `x in [-k , k]`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x , then x ...

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Matching.

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

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  20. sum(m-1)^ntan^(-1)((2m)/(m^4+m^2+2)) is equal to (a) tan^(-1)((n^...

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