Home
Class 12
MATHS
If sin theta =a has exactly 3 solution ...

If `sin theta =a ` has exactly 3 solution in `theta in [0,(7pi)/(3)]` then the value of 'a' is

A

[0,1]

B

[-1,1]

C

`[0,(3^(1/2))/2]`

D

[-1,0]

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS II|3 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL 1)|50 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos
  • VECTOR

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If sin theta=a for e xactly one value of theta in[0,(7 pi)/(3)], then 10, then the value of a is

If equation sin^(-1) (4 sin^(20 theta + sin theta) + cos^(-1) (6 sin theta - 1) = (pi)/(2) has 10 solution for theta in [0, n pi] , then find the minimum value of n

If the equation sec theta+cos ec theta=k,(k in R) has exactly 3 solution between 0 and pi, then k can take value

If the equation cos (lambda "sin" theta) = "sin" (lambda "cos" theta) has a solution in [0, 2pi] , then the smallest value of lambda , is

If f( theta ) = sin ^(3)theta + sin ^(3)( theta + (2pi)/(3)) + sin ^(3)( theta + (4pi)/(3)) then the value of f((pi)/(18)) + f((7pi)/(18)) is ___________.

If sin theta + sin 5 theta = sin 3 theta and 0 lt theta lt ((pi)/(2)), what is the value of theta ( in degrees) ?

If 1+sin^(2)theta=3sin theta cos theta then the solution set in(0,(pi)/(2)) is

If sin theta = (5)/(13), 0 lt theta lt (pi)/(2) then find the value of following. sin 3 theta

If sin theta=-(4)/(5) , pi < theta < (3 pi)/(2) ,then the value of tan2 theta is -(a)/(7) then a=

if 7 cos^(2) theta + 3 sin^2 theta = 4 and 0 lt theta lt (pi)/(2) , then find the value of cot theta

FIITJEE-TRIGONOMETIC EQUATIONS -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL II)
  1. The equation 2sin(x/2).cos^2x+sin^2x=2sin(x/2)sin^2x+cos^2x has a root...

    Text Solution

    |

  2. If cos x + cot x +1=cosec x then the possible values of x can be

    Text Solution

    |

  3. If sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R ho...

    Text Solution

    |

  4. If the equation sin x + cos (k +x)+ cos (k-x)=2 has real solutions, th...

    Text Solution

    |

  5. If sin theta =a has exactly 3 solution in theta in [0,(7pi)/(3)] then...

    Text Solution

    |

  6. The values of x satisfying the system of equation 2^("sin" x + "cos"...

    Text Solution

    |

  7. 2 sin^(2)x + sin^(2)2x=2,pi lt x lt pi then x equals

    Text Solution

    |

  8. If (cos^2x+1/(cos^2x)) (1+tan^2 2y)(3+sin3z)=4, then x is an integral ...

    Text Solution

    |

  9. If sqrt(3)(sin theta +cos theta)=2 + sin theta then theta equal to

    Text Solution

    |

  10. If sin(pi cos theta)=cos(pi sin theta), then sin 2theta=

    Text Solution

    |

  11. If 0lt plt 2pi and sin^(-1)(sinp)lt (x^(2))/(y)+(3y^(2))/(x)+(1)/(81xy...

    Text Solution

    |

  12. If z = sec^(-1) (x + 1/x) + sec^(-1) (y + 1/y), where xy< 0, then the ...

    Text Solution

    |

  13. If cos x=sqrt(1-sin 2x),0 le x le pi then a value of x is

    Text Solution

    |

  14. If: tan^(-1)(x-1)/(x+1)+ tan^(-1)(2x-1)/(2x+1) = tan^(-1) 23/36. Then:...

    Text Solution

    |

  15. Solve for x, cos^(-1)((x^(2)-1)/(x^(2)+1))+tan^(-1)((-2x)/(1-x^(2)))=(...

    Text Solution

    |

  16. General solution of the equation 4 cot 2 theta = cot^(2) theta - tan...

    Text Solution

    |

  17. If 1/2lt|x|lt1 then which of the following are real ?

    Text Solution

    |

  18. If 6 sin^(-1)(x^(2)-6x+17/2)=pi then

    Text Solution

    |

  19. The general solution of the equation 2^(cos2x)+1=3*2^(-sin^2x) is

    Text Solution

    |

  20. If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//...

    Text Solution

    |