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

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

A

(a)` x=npi +(pi)/(2), n in I `

B

(b)`y=(5pi)/(6)-npi, n in I `

C

(c)Both (a) and (b)

D

(d)None of the above

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (More Than One Correct Option Type Questions)
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  2. If x+y=2pi//3 and sin x//sin y=2, then the

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  3. If 0 lt x lt 2 pi and |cos x| le sin x, then

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  4. If xa n dy are positive acute angles such that (x+y) and (x-y) satisfy...

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

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

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

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

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

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

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

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

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  13. One of the general solutions of 4 sin^(4) x+cos^(4) x=1 is

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

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

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

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

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  18. Which of the following is/are correct?

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  19. If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)...

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  20. If [x] dnote the greatest integer less than or equal to x then the equ...

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