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2cos^(2)x+4cosx=3sin^(2)x if...

`2cos^(2)x+4cosx=3sin^(2)x` if

A

`cos x=(-2+sqrt(14))/(5)`

B

`cosx=(-2+sqrt(19))/(5)`

C

`sin x=(-2+sqrt(14))/(5)`

D

`sin x=(-2+sqrt(19))/(5)`

Text Solution

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The correct Answer is:
b
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MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
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  3. 2cos^(2)x+4cosx=3sin^(2)x if

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  4. 6tan^(2)x-2cos^(2)x=cos2x if

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  12. The number of values of x satisfying the condition sin x +sin 5x=sin3x...

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  13. sin x, sin2x, sin3x are in A.P. if

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  14. 2sin^(2)((pi//2)cos^(2)x)=1-cos(pi sin2x) if

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  15. Number of solutions of the equation 4 sin^(2)x+tan^(2)x+cot^(2)x+"cose...

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  19. If sum(r = 1)^(oo) "tan"^(-1)(1)/(2r^(2))=t, then tan t is equal to

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