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Find the number of positive integral sol...

Find the number of positive integral solution of the equation `tan^(-1)x+cos^(-1)y/(sqrt(1+y^2))=sin^(-1)3/(sqrt(10))`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...

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  7. The number of solutions of the equation |y|= cos x and y = cot^-1 (cot...

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  10. The value of cos^(-1)(-1)-sin^(-1)(1) is: a. pi b. pi/2 c. (3pi)/2 d. ...

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  11. The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all...

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

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  15. If x, y, z are in A.P. and t a n^(-1)x ,""t a n^(-1)y""a n d""t a n...

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

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

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

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

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

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