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Prove that 2 tan^(-1) (cosec tan^(-1) x ...

Prove that `2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x (x != 0)`

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MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
  1. Simplify the following: tan("sin"^(-1)3/5+"cot"^(-1)3/2)

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  2. prove that , sin ^(-1) (cos) . sin ^(-1 )x+cos ^(-1)( sin) . cos ^...

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  3. Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x...

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  4. tan^(-1)((2mn)/(m^2-n^2))+tan^(-1)((2pq)/(p^2-q^2))=tan^(-1)((2MN)/(M^...

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  5. tan(tan^-1x+tan^-1y+tan^-1z)-cot(cot^-1x+cot^-1y+cot^-1z) is equal to

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  6. निम्नलिखित समीकरण को हल कीजिए - tan^(-1)((1-x)/(1+x))=(1)/(2)tan^(-1...

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  7. Prove that 3tan^-1(1/(2+sqrt3))-tan^-1(1/2)=tan^-1(1/3)

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  8. Find the number of values of x in [-pi/4, pi/4] satisfying the equatio...

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  9. Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((...

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  10. Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x...

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  11. cos^(-1)((63)/(65))+2tan^(-1)((1)/(5))=sin^(-1)(3/5)

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  12. Find the value of 2 cos^(-1).(3)/(sqrt13) + cot^(-1).(16)/(63) + (1)/(...

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  13. Prove that cos^(-1) ((5)/(13))+cos^(-1) (-7/25)+sin^(-1) (36)/(325)=...

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  14. the value of arc cos sqrt(2/3)-arc cos ((sqrt(6)+1)/(2sqrt(3))) is

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

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  16. हल कीजिए : tan^(-1)((1)/(1+2x))+tan^(-1)((1)/(1+4x))=tan^(-1)""(2)/(...

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  17. Solve for x , tan^(-1) ( x + 1) + tan^(-1) x + tan^(-1) ( x - 1) = t...

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  18. Solution of equation cot^(-1) x + sin^(-1) . 1/sqrt5 = pi/4 is

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  19. Solve for x: cos^(-1)((x^2-1)/(x^2+1))+1/2tan^(-1)((2x)/(1-x^2))=(2pi/...

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  20. Solve the following equations/system of equations sin^(-1) x+sin^(-1...

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