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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 ENGLISH-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. Evaluate the following expression: tan [cos^(-1)(3/4)+sin^(-1)(3/4)-...

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

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  6. Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1...

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  7. Express in terms of : "tan"^(-1)(2x)/(1-x^(2) to tan^(-1)x for xgt1

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  8. sin^(-1)(2xsqrt(1-x^2)),x in [1/sqrt2,1] is equal to

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

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  10. Find the value of tan { 1/2 sin^(-1) ((2x)/(1+x^(2))) + 1/2 cos^(-1...

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  11. Solve for x : cos(2sin^(-1)x)=1/3

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

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

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

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  15. Prove that : sin^(-1)8/(17)+sin^(-1)3/5=sin^(-1)(77)/(85)=tan^(-1)((77...

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

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  17. Prove: sin^(-1)(1/sqrt5)+cot^(-1)3=pi/4

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  18. Prove that : tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=p...

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

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  20. Find the sum of the series :tan^- 1(1/3)+tan^- 1(2/9)+....+tan^- 1((2^...

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