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If cos p theta+cos q theta=0, then prove...

If `cos p theta+cos q theta=0`, then prove that the different values of `theta` are in A.P. with common difference `2pi// (p pm q)`.

A

`theta = 2n pi, n in Z`

B

`theta = (2 n pi)/(p +-q), n in Z`

C

`theta = (npi)/(p +q), n in Z`

D

none of these

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The correct Answer is:
B
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  3. The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "si...

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  5. Number of solutions of the equation "sin" 2 theta + 2 = 4"sin" theta +...

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  6. If "sin" 2x, (1)/(2) " and cos" 2x are in A.P., then the general valu...

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  7. The number of points of intersection of the curves 2y =1 " and " y = "...

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  9. If cos p theta+cos q theta=0, then prove that the different values of ...

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  11. Solve sec theta-1=(sqrt(2)-1) tan theta.

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  12. If "sec"^(2) theta = sqrt(2) (1-"tan"^(2) theta), "then" theta=

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  13. The most general solution of the equation 8"tan"^(2) (theta)/(2) = 1...

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  14. Solve sin 2x+cos 4x=2.

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  15. If "2sec" (2alpha) = "tan" beta + "cot"beta, then one of the value of ...

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  16. Quadratic equation 8 "sec"^(2) theta - 6 "sec" theta + 1 = 0 has

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  17. The equation sin x + sin y + sin z =-3 for 0 le x le 2pi , 0 le y l...

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  18. The solution set of (5+4 "cos" theta) (2 "cos" theta +1) =0 in the int...

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  19. The solution of the equation 1-"cos" theta = "sin" theta "sin" (theta)...

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