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The solution set of the equation 4 sin t...

The solution set of the equation `4 sin theta. Cos theta-2 cos theta-2sqrt(3)sin theta + sqrt(3)=0` in the interval (0` , 2pi`) is :

A

`{(3pi)/(4), (7pi)/(4)}`

B

`{(pi)/(3), (5pi)/(3)}`

C

`{(3pi)/(4), (7pi)/(4), (pi)/(3), (5pi)/(3)}`

D

`{(pi)/(6), (5pi)/(6), (11pi)/(6)}`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
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  2. If y + "cos" theta = "sin" theta has a real solution, then

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  3. The solution set of the equation 4 sin theta. Cos theta-2 cos theta-2s...

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

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

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

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

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

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

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

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

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  12. Find the number of value of x in [0,5pi] satisying the equation 3 cos...

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

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

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

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

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

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

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

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

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