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Find the sum of the infinte series sin^(...

Find the sum of the infinte series `sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))`

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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. નીયેના બહુવિકલ્પ પ્રશ્નોના જ​વાબ માટે સાયો વિકલ્પ પસંદ કરો: sin^(-1...

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

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

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

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

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

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

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

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

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

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

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

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  14. about to only mathematics

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  15. If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 then the value of x is: (1) ...

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  16. The value of cot(cose c^(-1)5/3+tan^(-1)2/3) is: (1) 6/(17) (2) 3/...

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  17. If x, y, z are in A.P. and tan^(-1)x , tan^(-1)y and t a n^(-1)z a...

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  18. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

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  19. Prove that costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))

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  20. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

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