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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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Find the sum of the series tan^-1(1/2)+tan^-1(1/2)+tan^-1(1/18)+tan^-1(1/32)+............ to n terms

tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

The sum of the infinite terms of the series "tan"^(-1)((1)/(3))+ "tan"^(-1)((2)/(9)) + tan^(-1)((4)/(33)) + .... is equal to (pi)/(n) The value of n is:

Find the sum of the series tanx +2tan2x+2^2tan2^2 x+…+ 2^(n-1)tan2^(n-1)x

Sum the series : tan^(- 1)(4/(1+3.4))+tan^(- 1)(6/(1+8.9))+tan^(- 1)(8/(1+15.16))+............oo is :

Find the sum of the series: 1. n+2.(n-1)+3.(n-2)++(n-1). 2+n .1.

Find the sum of the series: 1. n+2.(n-1)+3.(n-2)++(n-1). 2+n .1.

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Evaluateint(7x^2-5x)\dx

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

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

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  5. Prove that:cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)

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  6. Prove each of the followingsin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77...

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  7. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  8. Prove that sin^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))

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  9. Show that sin^-1 (3/5)+cos^-1(12/13)=cos^-1(33/65)=sin^-1(56/65)

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  10. sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x , then roots of the equatio...

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  11. Solve the equation sin^(-1)x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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  12. Evaluate: cos(sin^(-1)3/5+sin^(-1)5/(13))

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  13. Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

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  14. Prove that : tan^(-1)(63)/(16)=sin^(-1)5/(13)+cos^(-1)3/5

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  15. Prove that:(9pi)/8-9/4sin^(-1)1/3=9/4sin^(-1)(2sqrt(2))/3

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  16. solve:sin^-1x+sin^-1 2x=pi/3

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  17. Prove that: cos^(-1)4/5+cos^(-1)(12)/(13)=cos^(-1)(33)/(65)

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  18. Show that sin^(-1)(3/5)-sin^(-1)(8/(17))=cos^(-1)(84/85) .

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  19. If cos^(-1)(x/a)+cos^(-1)(y/b)=alpha, prove that (x^2)/(a^2)-2(x y)/(a...

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  20. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, prove that x^2+y^2+z^2+2x y z=1.

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