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Solve the equation (sin x + cos x)^(1 + ...

Solve the equation `(sin x + cos x)^(1 + sin2x) = 2`, when `-pi le x le pi`.

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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. let [] denotes the greatest integer less than or equal to x and f(x) =...

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  2. sin x = 0 and sinx/(cos x/2 cos (3x)/2) = 0 and show their solution ar...

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  3. Solve the equation (sin x + cos x)^(1 + sin2x) = 2, when -pi le x le p...

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  4. Find the most general solutions for 2^sinx + 2^cosx = 2^(1 - 1/sqrt2).

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  5. Solve 3 cos^2 theta - 2 sqrt3 sin theta cos theta - 3 sin^2 theta = 0

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  6. Find the number of solution for sin 5theta cdot cos 3theta = sin 9thet...

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  7. Find the general solution of the equation sin 3 alpha = 4 sin alpha si...

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  8. A triangle ABC is such that sin (2A + B) = 1/2 . If A,B,C are in A.P.,...

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  9. If cos^-1 x/a + cos^-1 y/b = alpha , then show x^2/a^2 + y^2/b^2 - (2x...

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  10. If cos^-1 lambda + cos^-1 mu + cos^-1 gamma = 3 pi, then find the valu...

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

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

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

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

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

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

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  17. Solve sin x + sqrt3 cos x = sqrt2

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

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

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

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