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The complex numbers sin x +i cos 2x and ...

The complex numbers sin x +i cos 2x and cos x -i sin 2x are conjugate to each other for (i) x=n `pi` (ii) `x=(n+(1)/(2))(pi)/(2)` (iii) x=0 (iv) no value of 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 ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The solution set of the equation 4 sin theta. Cos theta-2 cos theta-2s...

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  2. The most general solution of tan theta =-1 and cos theta = 1/(sqrt(2))...

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  3. The complex numbers sin x +i cos 2x and cos x -i sin 2x are conjugate ...

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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, ...

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  6. Find the general values of theta satisfying tan theta + tan ((3pi)/...

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  7. If sin theta+ cos theta = sqrt(2) cos theta, (theta ne 90^(@)) then v...

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  8. The number of solutions of the equation tanx+secx=2cosx lying in the i...

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

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  10. Find the number of value of x in [0,5pi] satisying 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. If cos p theta+cos q theta=0, then prove that the different values of ...

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

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