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Solve 5 cos 2 theta+2 "cos"^(2) theta/2 ...

Solve `5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi`.

A

`pi/3`

B

`pi/3, cos^(-1) "" (3/5)`

C

`cos^(-1)"" (3/5)`

D

`pm pi/3 , pi - cos^(-1)"" (3/5)`

Text Solution

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The correct Answer is:
D
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ML KHANNA-TRIGONOMETRICAL EQUATIONS -SELF ASSESSMENT TEST
  1. Solve 5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi.

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  2. If sintheta=sinalpha, then

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  3. The general solution of the trigonometic equation "sin"x + "cos"x = 1...

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  4. The general solution of equation sin^2 theta sec theta + sqrt3 tan th...

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  5. The solution set of (2"cos"x-1)(3+2"cos"x) = 0 in the interval 0 le x ...

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  6. If tan a theta-tan b theta=0, then prove that the values of theta form...

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

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  8. If sin5x+sin3x+sinx=0, then the value of x other than zero between 0le...

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  9. The maximum value of sin (x + x/6) + cos (x + pi/6) int eh interval (0...

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  10. If x = X "cos" theta-Y "sin" theta, y = X "sin" theta + Y "cos" theta ...

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  11. The general solution of the equation tan^2 x + 2 sqrt3 tan x = 1is giv...

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  12. Let P= {theta : sin theta - cos theta = sqrt2 cos theta} and Q =...

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  13. For 0 lt theta lt pi/2, the solutions of sigma(m-1)^(6)"cosec"(theta+(...

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  14. The positive integer value of n gt 3 satisfying the equation (1)/(sin(...

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  15. The number of all possible values of theta,where 0 lt thetalt pi for w...

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  16. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

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  17. If sqrt3cos theta + sin theta = sqrt2 then general value of theta is

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  18. The general solution of sinx-cosx=sqrt(2), for any integer n is

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  19. If tan2theta =1, then the general value of theta is

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  20. The equation a "cos" x - "cos" 2x = 2a-7 passesses a solution if

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  21. General value of theta obtained from the equation cos 2 theta = sin al...

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