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If sin^-1x + sin^-1 y + sin^-1 z = (3 pi...

If `sin^-1x + sin^-1 y + sin^-1 z = (3 pi)/2`, then find the value of `sum ((x^101 + y^101)(x^202 + y^202))/((x^303 + y^303)(x^404 + y^404))`

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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
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  2. Find the value of tan{1/2 sin^-1((2x)/(1+x^2)) + 1/2cos^-1 ((1-y^2)/(1...

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  3. If sin^-1x + sin^-1 y + sin^-1 z = (3 pi)/2, then find the value of su...

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  4. Solve for x : If [sin^-1(cos^-1(sin^-1(tan^-1x)))]=1, where [cdot] d...

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  6. Solve sin x + sqrt3 cos x = sqrt2

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  7. Solve tan theta + tan 2theta + tan 3theta = 0

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  8. The number of all possible triplets (a1,a2,a3) such that : a1 + a2cos2...

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  9. Find the general solutions of: 2^(1 + abscosx + abs(cosx)^2 + abs(co...

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  10. tan ((pip)/4) = cot((qpi)/4) if :

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  11. The general solution of the equation : cos x cdot cos 6x = -1 is :

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  12. Find the interval in which , cos^-1 x gt sin^-1 x.

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  13. Solve the equation sin^-1 6x + sin^-1 6sqrt3 x = -pi/2

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  14. Evaluate : sum(n = 1)^infty tan^-1(1/(n^2 + n + 1))

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  15. If tan^-1 x + tan^-1 2x + tan^-1 3x = pi, then:

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  16. The number of value of 'x' in the interval [0 , 3pi] satisfying the eq...

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  17. The most general solution , satisfying the equation cos theta = 1/sqrt...

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  18. The number of solution of 16^(sin^2 x) + 16^(cos^2 x) = 10 : 0 le x le...

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  19. The equation sin^6 x + cos^6 x = k possesses solution if

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  20. If 3^(sin 2x + 2 cos^2 x) + 3^( 1 - sin 2x + 2 sin^2 x) = 28, then tan...

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