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{x in R: "cos" 2x + 2"cos"^(2) x = 2} is...

`{x in R: "cos" 2x + 2"cos"^(2) x = 2}` is equal to

A

`{2npi + (pi)/(3) : n in Z}`

B

`{n pi +-(pi)/(6) : n in Z}`

C

`{n pi + (pi)/(3): n in Z}`

D

`{2n pi-(pi)/(3): n in Z}`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The number of values of x in [0, 2 pi] that satisfy "cot" x -"cosec"x ...

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

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

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

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

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

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

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  11. If ("sec" theta 1)- (sqrt(2)-1) "tan" theta, "then" 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. The number of values of x for which "sin" 2x + "cos" 4x =2, is

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

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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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  20. {x in R: "cos" 2x + 2"cos"^(2) x = 2} is equal to

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