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Find the sum of the series :(tan^- 1)1/3...

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

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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve the following equation: sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

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  2. If 1/2tan^(- 1)((2x)/(x^2-1))+cos^(- 1)((x^2-1)/(x^2+1))=(2pi)/3 the...

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

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  4. Find the sum to n terms cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+ cot^(-1)...

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

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

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  7. નીયેના બહુવિકલ્પ પ્રશ્નોના જ​વાબ માટે સાયો વિકલ્પ પસંદ કરો: sin^(-1...

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  8. tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=?

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  9. Find the sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(...

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  10. If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi, show that x^4+y^4+z^4+4x^2y^2z^2=...

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  11. If alpha and beta are the roots of the equation x^2-4x + 1=0(alpha > ...

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  12. Solution set of inequality (cot^-1x)^2-5cot^-1x+6>0 is

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  13. Solve the following inequality: sin^(-1) x > cos^(-1) x

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  14. Find the number of positive integral solution of the equation tan^(-1)...

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  15. Find all values of k for which there is a triangle whose angles have m...

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  16. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

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  17. Find the set of values of a for which the equation 2cos^-1 x = a+a^2(c...

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

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

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  20. about to only mathematics

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