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Prove that costan^(-1)sincot^(-1)x=sqrt(...

Prove that `costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))`

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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all...

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  2. about to only mathematics

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  3. If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 then the value of x is: (1) ...

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  4. The value of cot(cose c^(-1)5/3+tan^(-1)2/3) is: (1) 6/(17) (2) 3/...

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  5. If x, y, z are in A.P. and tan^(-1)x , tan^(-1)y and t a n^(-1)z a...

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  6. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

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  7. Prove that costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))

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  8. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

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  9. If sin{cot^(-1)(x+1)}=cos(tan^(-1)x), then find x

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  10. The value of the lim(n->oo)tan{sum(r=1)^ntan^(- 1)(1/(2r^2))} is equal...

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  11. Let (x, y) be such that sin^-1 (ax) + cos^-1 (y)+ cos^-1 (bxy)=pi/2 ...

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  12. Let (x, y) be such that sin^-1 (ax) + cos^-1 (y)+ cos^-1 (bxy)=pi/2 ...

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  13. Let (x, y) be such that sin^-1 (ax) + cos^-1 (y)+ cos^-1 (bxy)=pi/2 ...

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  14. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

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  15. Find the sum of the series underset(m=1) overset(infty) sum tan^(-1...

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  16. (1/y^2 \ ((cos(tan^(-1) y) + y sin(tan^(-1) y))/(cot(sin^(-1) y) + tan...

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  17. lf cos x + cosy-cos z = 0 = sin x + sin y + sin z then cos((x-y)/2)=

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  18. Let f(x)=|1+sin^2x cos^2x4sin2xsin^2\ \ x1+cos^2x4sin2xsin^2xcos^2x1...

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  19. If cot(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)(xsqrt(6))),\ x!=0, then possi...

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  20. Let f:[-(pi)/(3),(2pi)/(3)]rarr[0,4] be a function defined as f(x) = ...

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