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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

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

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
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  2. If "sin" A = "sin"B, "cos"A = "cos"B, then the value of A im terms of ...

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

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  4. If (1+tantheta)(1+tanphi)=2 then theta+phi=

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  7. If alpha and beta are the solutions of the equation atan theta+ b s...

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  8. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

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  12. If y + "cos" theta = "sin" theta has a real solution, then

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  13. The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" th...

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

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

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

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

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

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

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