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If sin x +icos 2x,and cosx-isin2x are c...

If `sin x +icos 2x`,and ` cosx-isin2x` are conjugate to each other then x=

A

`n pi`

B

`(n + (1)/(2)) pi, n in Z`

C

0

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" th...

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  2. The most general solution of "tan " theta = -1, "cos" theta = (1)/(sqr...

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  3. If sin x +icos 2x,and cosx-isin2x are conjugate to each other then x=

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  4. The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) ...

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  5. The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi...

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  6. The most general values oro satisfying tan theta + tan((3pi)/4+theta)=...

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  7. If "sec" theta "tan" theta =sqrt(2),"then" theta=

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  8. The number of solutions of the equation "tan" x + "sec"x = 2"cos" x ly...

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  9. If "cot" theta "cot" 7 theta + "cot" theta "cot" 4 theta + "cot" 4 the...

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  10. The number of values of x in [0, 5 pi] satisfying the equation 3"cos" ...

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  11. The number of values of x in [0, 2 pi] that satisfy "cot" x -"cosec"x ...

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  12. "cot" theta = "sin" 2 theta, theta ne n pi, n in Z, "if" theta equals

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  13. The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "si...

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  14. If 1/6sintheta,costheta,tantheta are in GdotPdot, then theta is equal ...

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

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

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

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  18. For m ne n, if "tan" m theta = "tan" n theta, then different values of...

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  19. cosp theta=cosq theta, p!=q,thetn

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  20. Solutions of the equations "cos"^(2) ((1)/(2) px)+ "cos"^(2) ((1)/(2) ...

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