Home
Class 12
MATHS
If x+y=2pi//3 and sin x//sin y=2, then t...

If `x+y=2pi//3` and `sin x//sin y=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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|60 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

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

If x, y in [0, 2pi] and sin x + sin y=2 , then the value of x+y is

If 0 le x, y le pi "and sin"x + "sin" y = 2, "then"x + y =

Let x and y, (0 lt x, y lt pi/2) satisfy 3sin^(2)x + 2sin^(2)y=1 and 3sin2x = 2sin2y , then the value of 232/pi (x+2y) is……………

If sin^(-1)x+sin^(-1)y=(2pi)/3 and cos^(-1)x-cos^(-1)y=-pi/3 then the number of values of (x,y) is

If y=(sin x) ^(sin x ^sin x ....oo) then prove that dy/dx=(y^2 cot x)/(1-y log (sin x))

If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then (a) x=pi/8+sqrt(1/2-(pi^2)/(64)) (b) y= sqrt(1/2-(pi^2)/(64))-pi/(12) (c) x=pi/(12)+sqrt(1/2-(pi^2)/(64)) (d) y=sqrt(1/2-(pi^2)/(64))-pi/8

If 2^x = cos(y/2) and a^x = sin y , then sin(y/2) is equal to

If sin^(-1)x+sin^(-1)y=pi/3 and cos^(-1)x-cos^(-1)y=pi/6 , find the values of x and y .

STATEMENT-1: sin 2 > sin 3 STATEMENT-2: If x,y in (pi/2, pi), x lt y, then sin x gt siny

ARIHANT MATHS ENGLISH-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...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Which of the following is/are correct?

    Text Solution

    |

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

    Text Solution

    |