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Find the sum of infinite series : S = si...

Find the sum of infinite series : `S = sin^-1(1/sqrt2) + sin^-1((sqrt2 -1)/sqrt6) + sin^-1((sqrt3 - sqrt2)/sqrt12) + ...... infty`

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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
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  2. Solve the equation, (tan x)^(cos^2 x) = (cot x)^(sin x)

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  3. Find the sum of infinite series : S = sin^-1(1/sqrt2) + sin^-1((sqrt2 ...

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  5. If 0lt thetalt 2pi, then the intervals of values of theta for which 2...

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  7. The number of all possible ordered pairs (x, y), x, y in R satisfying ...

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  9. The general solution of the equation 7cos^2x+sinxcosx-3=0 is given by

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  10. The value of tan^-1 1+tan^-1 2+ tan^-1 3 is

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  11. If sin^-1x+sin^-1y=(2pi)/3, then cos^-1x+cos^-1y=

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  12. sincot^-1 costan^-1 2=

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  13. The value of sin^-1(cos(sin^-1x))+cos^-1(sin(cos^-1x)) where absx le 1...

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  14. If sin^-1(sin5) gt x^2-4x, then find number of all possible integer va...

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  15. If tan((alpha pi)/4)=cot((beta pi)/4) then

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  18. The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3...

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  19. One root of the equation cosx-x+1/2=0 lies in the interval

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  20. The nunmber of solution of 2cos^2(x/2)sin^2x=x^2+1/x^2, 0 le x le pi/2...

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