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tan^(-1)x + cot^(-1) (1/x) + 2tan^(-1)z ...

`tan^(-1)x + cot^(-1) (1/x) + 2tan^(-1)z =pi`, then prove that `x + y + 2z = xz^2 + yz^2 + 2xyz`

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RESONANCE-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
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  2. Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

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  3. tan^(-1)x + cot^(-1) (1/x) + 2tan^(-1)z =pi, then prove that x + y + 2...

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  4. If cos^(-1)x+2sin^(-1)x+3cot^(-1)y+4tan^(-1)y=4sec^(-1)z+5cosec^(-1)z,...

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  5. Consider f(x)=tan^(-1)(2/x),g(x)=sin^(-1)(2/(sqrt(4+x^(2)))) and h(x)=...

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  6. Prove each of the following tan^(-1) x=-pi +cot^(-1) 1/x=sin^(-1) (x...

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  10. Express in terms of : cos^(-1)(2x^(2)-1) to cos^(-1)x for -1lexlt0

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  13. Solve for x : cot^(-1)x+tan^(-1)3=(pi)/2

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  14. Solve : tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1)/(x+2)=pi/4

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  15. Solve sin^(-1)x+sin^(-1)2x=pi/3dot

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  17. Prove that : "tan"^(-1)3/4+"sin"^(-1)5/13="cos"^(-1)33/65

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

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