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The number of solutions of the equation ...

The number of solutions of the equation `4e^(sinx)-3e^(-sinx)+4=0` in `[0,2pi]` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-TRIGNOMETRIC EQUATIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  4. If sin^(4)(x//3)+cos^(4)(x//3)gt1//2 then x in

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  6. If 4 cos theta - 3 sec theta = tan theta, " then " theta =

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  9. The solution of (sqrt(5) - 1)/(sin x) + (sqrt(10 + 2 sqrt(5)))/(cos x)...

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  11. The number of distinct real roots of the equation tan ( 2 pi x)/( x^(...

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  12. The smallest positive value of x (in radians) satifying the equation l...

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  13. The number of solutions of sin x + sin 2 x + sin 3 x = cos x + cos 2 x...

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  14. The number of solutions of the equation sin ((pi x)/( 2 sqrt(3))) = x^...

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  15. The number of solution of the equation tan^(2)x-sec^(10)x+1=0 in (0,10...

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  16. If sqrt( 5 - 2 sin x) = 6 sin x - 1 then x =

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  17. If sin(sin x + cos x) = cos (cos x - sin x) then the largest possible ...

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  18. The number of solutions of sin^(4)x-cos^(2)xsinx+2sin^(2)x+sinx=0 in 0...

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  19. Number of solution (s) satisfying the equation (1)/(si x) - (1)/( sin ...

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  20. The range of alpha for which the equation sin^(4)x+cos^(4)x+sin2x+alph...

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