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If sin^-1x + sin^-1 y + sin^-1 z = pi, p...

If `sin^-1x + sin^-1 y + sin^-1 z = pi`, prove that `x^4 + y^4 + z^4 + 4x^2y^2z^2 = 2(x^2y^2 + y^2z^2 + z^2x^2)`

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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. If cos^-1 lambda + cos^-1 mu + cos^-1 gamma = 3 pi, then find the valu...

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  2. If sum(i=1)^(2n) sin^-1xi = npi then find the value of sum(i = 1)^(2n)...

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  3. If sin^-1x + sin^-1 y + sin^-1 z = pi, prove that x^4 + y^4 + z^4 + 4x...

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  4. Find the value of tan{1/2 sin^-1((2x)/(1+x^2)) + 1/2cos^-1 ((1-y^2)/(1...

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

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

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  7. If xgamma is given by, x(gamma + 1) = sqrt(1/2(1+xgamma) Then show :...

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  8. Solve sin x + sqrt3 cos x = sqrt2

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

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

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

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

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

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

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

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

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

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

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

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

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