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If x+y=2pi//3 and sin x//siny=2, then...

If ` x+y=2pi//3 ` and ` sin x//siny=2`, then the

A

number of value of ` x in [0,4pi]` are 4

B

number of value of ` x in [0,4pi]` are 2

C

number of value of ` y in [0,4pi]` are 2

D

number of value of ` y in [0,4pi]` are 8

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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (More Than One Correct Option Type Questions)
  1. The number of integral values of a for which the system of linear equa...

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  2. The equation 2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2la...

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  3. If x+y=2pi//3 and sin x//siny=2, then the

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  4. If 0 le x le 2pi and |cos x | le sin x , the

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  5. If x and y are positive acute angles such that (x+y) and (x-y) satisf...

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  6. If x+y=(4pi)/(3) and sin x = 2 sin y , then

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  7. The number of solutions of the equations y=1/3[sin theta+[sin theta +[...

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  8. If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi], (where ,[.] denotes th ...

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  9. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

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  10. The number of value of alpha in the interval [-pi,0] satisfying sin...

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  11. Find the number of solution of theta in [0,2pi] satisfying the equatio...

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  12. If alpha and beta are the solution of a cos theta + b sin theta = c...

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  13. The solution of the equation sin 2x + sin 4x = 2 sin 3x is

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  14. The general solution of 4sin^(4) x + cos^(4) x=1 is

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  15. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

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  16. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...

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  17. The values of alpha for which the equation alpha^2/(1-tan^2x)=(sin^2...

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  18. For which values of a does the equation 4sin(x+pi/3)cos(x-pi/6)=a^2+sq...

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  19. Which of the following is/are correct .

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  20. The value of theta , lying between theta =0 and theta=(pi)/(2) and ...

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