Home
Class 12
MATHS
The set of value of the theta satisfying...

The set of value of the `theta` satisfying the inequation `2 sin^(2) theta -5 sin theta + 2 gt 0`, where `0 lt theta lt 2pi`, is

A

`(0,(pi)/(6)) cup ((5pi)/(6), 2pi)`

B

`((pi)/(8), (5 pi)/(6))`

C

`(0, (pi)/(8)) cup ((pi)/(6), (5 pi)/(6))`

D

`((4 1 pi)/(48), pi)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

  • THREE DIMENSIONAL GEOMETRY

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |11 Videos

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos

Similar Questions

Explore conceptually related problems

The set of values of theta satisfying the inequatioin 2sin^(2)theta-5sintheta+2 gt 0, where o lt theta lt 2pi , is

The set of values of theta satisfying the inequation 2sin^(2)theta-5sin theta+2>0, when theta in(0,2 pi) is

Value(s) of theta satisfying the equation sin 7 theta = sin 4 theta - sin theta , where 0 lt theta lt (pi//2) , are

The number of values of theta in [0,2 pi] satisfying the equation 2sin^(2)theta=4+3cos theta are

If 2 sin^2 theta - 5 sin theta + 2 gt 0, theta in (0,2pi)," then" theta in :

The number of values of theta satisfying the equation sin theta+sin5 theta=sin3 theta such that theta in[0,pi] is

The value of theta(0

There exist a value of theta between 0 and 2pi that satisfies the equaition sin^(4) theta-2sin^(2) theta+ 1=0

The values of theta satisfying "sin" 7 theta = "sin" 4 theta -"sin" theta " and " 0 lt theta lt (pi)/(2) are

BITSAT GUIDE-TRIGONOMETRY-BITSAT Archives
  1. The set of value of the theta satisfying the inequation 2 sin^(2) the...

    Text Solution

    |

  2. Number of roots of the equation |sinxcosx| +sqrt(2+t a n^2x+cot^2x)=sq...

    Text Solution

    |

  3. The greatest and least values of (sin^(-1)x)^(2) + (cos^(-1)x)^(2) are...

    Text Solution

    |

  4. Find the number of solutions of cos x =|1+ sin x |, 0 le x le 3 pi

    Text Solution

    |

  5. The vaue of the expression sin [cot^(-1){cos (tan^(-1))}] is

    Text Solution

    |

  6. An object is observed from the points A, B and C lying in a horizontal...

    Text Solution

    |

  7. If tan 20^(@) =lamda, then (tan 160^(@) -tan 110^(@))/(1+ (tan 160^(@)...

    Text Solution

    |

  8. The angles of a triangle are in AP and the least angle is 30^(@). What...

    Text Solution

    |

  9. If A+B+C=90^(@)," then "(cot A+ cot B+ cot C)/(cot A cot B cot C) is e...

    Text Solution

    |

  10. In Delta ABC, if a=2, b=3 and sin A =(2)/(3). Then, cos C is equal to

    Text Solution

    |

  11. If 4 sin^(-1) x + cos^(-1) x= pi, then x is equal to

    Text Solution

    |

  12. If tan theta =(1)/(2) and tan phi =(1)/(3), then the value of theta + ...

    Text Solution

    |

  13. If sin theta =(1)/(2) and tan theta =(1)/(sqrt(3)), AA n in l, then mo...

    Text Solution

    |

  14. The function sin x + cos x is maximum, when x is equal to

    Text Solution

    |

  15. Principal value of sin^(-1). (-(sqrt(3))/(2))is

    Text Solution

    |

  16. If angles A,B and C are in AP, then (a+c)/(b) is equal to

    Text Solution

    |

  17. (1+cos.(pi)/(8))(1+cos.(3pi)/(8))(1+cos.(5pi)/(8))(1+cos.(7pi)/(8)) is...

    Text Solution

    |

  18. The solution of the equation sectheta-cosectheta=(4)/(3) is

    Text Solution

    |

  19. What is the minimum value of 9 tan ^(2) theta + 4 cot ^(2) theta ?

    Text Solution

    |

  20. If a le sin^(-1) x+cos^(-1)x+tan^(-1) x le b, then

    Text Solution

    |

  21. If sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^(-1)x-cos^(-1) y= pi/3 ," then...

    Text Solution

    |