Home
Class 12
MATHS
The smallest positive angle which satisf...

The smallest positive angle which satisfies the equation `2sin^2theta+sqrt(3)costheta+1=0` is `(5pi)/6` b. `(2pi)/3` c. `pi/3` d. `pi/6`

A

`(5pi)/6`

B

`pi/6`

C

`(7pi)/6`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES)|2 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos

Similar Questions

Explore conceptually related problems

The smallest positive angle which satisfies the equation 2sin^(2)theta+sqrt(3)cos theta+1=0 is (5 pi)/(6)b(2 pi)/(3)c*(pi)/(3)d*(pi)/(6)

The smallest value of theta satisfying the equation sqrt(3)(cot theta+tan theta)=4 is 2 pi/3 b.pi/3c. pi/6d. pi/12

The smallest positive x satisfying the equation log_(cos x)sin x+log_(sin x)cos x=2 is (pi)/(2)(b)(pi)/(3)(c)(pi)/(4)(d)(pi)/(6)

A value of theta satisfying cos theta+sqrt(3)s int h eta=2 is (5 pi)/(3) b.(4 pi)/(3) c.(2 pi)/(3) d.(pi)/(3)

If cos theta+sqrt(3)s int h eta=2, then theta=pi/3b2 pi/3c.4 pi/3d.5 pi/3

The value of theta satisfying the given equation cos theta+sqrt(3)sin theta=2, is (A) (pi)/(3)(B)(5 pi)/(3)(C)(2 pi)/(3) (D) (4 pi)/(3)

If t a ntheta+s e ctheta=sqrt(3),\ 0

The number of values of theta in the interval [-pi,pi] satisfying the equation costheta+sin2theta=0 is

The principal solution of the trigonometric equation sqrt(3)sec theta+2=0 is 1. (pi)/(6) 2. (2 pi)/(3) 3. (pi)/(6) 4. (5pi)/6

ML KHANNA-TRIGONOMETRICAL EQUATIONS -SELF ASSESSMENT TEST
  1. The maximum value of sin (x + x/6) + cos (x + pi/6) int eh interval (0...

    Text Solution

    |

  2. If x = X "cos" theta-Y "sin" theta, y = X "sin" theta + Y "cos" theta ...

    Text Solution

    |

  3. The general solution of the equation tan^2 x + 2 sqrt3 tan x = 1is giv...

    Text Solution

    |

  4. Let P= {theta : sin theta - cos theta = sqrt2 cos theta} and Q =...

    Text Solution

    |

  5. For 0 lt theta lt pi/2, the solutions of sigma(m-1)^(6)"cosec"(theta+(...

    Text Solution

    |

  6. The positive integer value of n gt 3 satisfying the equation (1)/(sin(...

    Text Solution

    |

  7. The number of all possible values of theta,where 0 lt thetalt pi for w...

    Text Solution

    |

  8. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

    Text Solution

    |

  9. If sqrt3cos theta + sin theta = sqrt2 then general value of theta is

    Text Solution

    |

  10. The general solution of sinx-cosx=sqrt(2), for any integer n is

    Text Solution

    |

  11. If tan2theta =1, then the general value of theta is

    Text Solution

    |

  12. The equation a "cos" x - "cos" 2x = 2a-7 passesses a solution if

    Text Solution

    |

  13. General value of theta obtained from the equation cos 2 theta = sin al...

    Text Solution

    |

  14. If sin 6 theta + sin 4 theta + sin 2 theta = 0 Then the general valu...

    Text Solution

    |

  15. General solution of tan 5 theta =

    Text Solution

    |

  16. The equation sinx cosx=2 has:

    Text Solution

    |

  17. The value of theta lying between 0 and pi/2 and satisfying the equati...

    Text Solution

    |

  18. The number of values of x in the interval [0, 5pi] satisfying the equa...

    Text Solution

    |

  19. Find the most general value of theta satisfyingn the equation tanthet...

    Text Solution

    |

  20. The smallest positive angle which satisfies the equation 2sin^2theta+s...

    Text Solution

    |