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If a > b > c >0 , prove that cot^(-1)((...

If `a > b > c >0` , prove that `cot^(-1)((a b+1)/(a-b))+cot^(-1)((b c+1)/(b-c))+cot^(-1)((c a+1)/(c-a))=pi`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  3. If a > b > c >0 , prove that cot^(-1)((a b+1)/(a-b))+cot^(-1)((b c+1)...

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  8. Solve: tan^(-1) x + tan^(-1)(x+ 1) + tan^(-1) (x-1) = tan ^(-1) 3x

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  10. Solve the equation sin^(1) x + sin ^(-1) (1-x) = cos^(-1) x.

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  11. If tan^(- 1)((2x)/(x^2-1))+cos^(- 1){(x^2-1)/(x^2+1)}=(2pi)/3 then ...

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  14. Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+...

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  15. Find the domain of definition the following function: f(x)=log(10)(1-l...

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  17. Prove that the identities, sin^-1 cos(sin^-1x)+cos^-1 sin(cos^-1x)=pi...

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  18. Prove that:tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=pi/4

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  19. Find the sum of infinite series s = sin^(-1) ( 1/sqrt2) + sin ^(-1) ...

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  20. If sin^(-1) x = sin^(-1) y + sin^(-1) z = pi " , prove that " x^(4) + ...

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