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Find the set of values of x for which (t...

Find the set of values of x for which `(tan 3x - tan 2x)/(1 + tan 3x cdot tan 2x) = 1`

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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. Solve sin 2x - sin 4x + sin 6x = 0.

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  2. Solve 2 cos^2 x + 3 sin x = 0

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  3. Find the set of values of x for which (tan 3x - tan 2x)/(1 + tan 3x cd...

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  4. Solve tan theta + tan 2theta + tan theta . tan 2theta = 1

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  5. Find number of solurions of tan x + sec x = 2 cosx in [0 , 2pi]

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  6. Find the solution set for , 4 sin^2 x - 8 sin x + 3 le 0 when x in [0 ...

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  7. Find the number of distinct solutions of sec x + tan x =sqrt3, where 0...

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  8. Prove that the equation p cos x - q sin x = r admits solution for x if...

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  9. let [] denotes the greatest integer less than or equal to x and f(x) =...

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

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

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

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

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

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

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

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

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

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

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