Home
Class 11
MATHS
If costheta+sqrt(3)sintheta=2, then thet...

If `costheta+sqrt(3)sintheta=2,` then `theta=`
a. `pi//3` ` ` b. `2pi//3` c. `4pi//3` d. `5pi//3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATION FORMULAE

    RD SHARMA ENGLISH|Exercise All Questions|145 Videos

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos

Similar Questions

Explore conceptually related problems

A value of theta satisfying costheta+sqrt(3)\ sin theta=2 is a. (5pi)/3 b. (4pi)/3 c. (2pi)/3 d. pi/3

If (3+2i sintheta)/(1-2i sintheta) is a real number and 0lt theta lt 2pi , then theta is a. pi \ b. pi/2 \ c. pi/3 \ d. pi/6

The value of sin^(-1)(-sqrt(3)//2)\ is- a. -pi//3 b. -2pi//3 c. 4pi//3 d. 5pi//3

A solution of the equation cos^2theta+sintheta+1=0 lies in the interval a. (-pi//4,pi//4) b. (pi//4,3pi//4) c. (3pi//4,5pi//4) d. (5pi//4,7pi//4)

If theta is an acute angle and the vector (sintheta) hat i+(costheta) hat j is perpendicular to the vector hat i-sqrt(3) hat j ,\ t h e n\ theta= pi/6 b. pi/5 c. pi/4 d. pi/3

If 4\ cos^2theta+sqrt(3)=2(sqrt(3)+1)costheta, then theta is 2npi+-pi/3, n in I (b) 2npi+-pi/4, n in I 2npi+-\ pi/6, n in I (d) none of these

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

If (costheta+cos2theta)^3=cos^3theta+cos^3 2theta, then the least positive value of theta is equal to pi/6 (b) pi/4 (c) pi/3 (d) pi/2

If hat a , hat b ,a n d hat c are three unit vectors inclined to each other at angle theta, then the maximum value of theta is pi/3 b. pi/4 c. (2pi)/3 d. (5pi)/6

If tanθ+secθ=√3,0 <θ<π, then θ is equal to a. (5pi)/6 b. (2pi)/3 c. pi/6 d. pi/3

RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS-All Questions
  1. Solve the following equation: sin2theta-sin4theta+sin6theta=0

    Text Solution

    |

  2. Solve the following equation: t a ntheta+t a n2theta+t a n3theta=0

    Text Solution

    |

  3. Write the general solution of tan^2 2x=1.

    Text Solution

    |

  4. Solve the equation 5cos^2 theta+7sin^2theta-6=0

    Text Solution

    |

  5. Writhe the number of values of theta\ in\ [0,2pi] thast satisfy the eq...

    Text Solution

    |

  6. If 2sin^2theta=3\ costheta,\ w h e r e\ 0lt=thetalt=2pi, then find the...

    Text Solution

    |

  7. The smallest value of theta satisfying the equation sqrt(3)(cottheta+t...

    Text Solution

    |

  8. If costheta+sqrt(3)sintheta=2, then theta= a. pi//3 b. 2pi...

    Text Solution

    |

  9. The general solution of the equation 7cos^2theta+3sin^2theta=4 is thet...

    Text Solution

    |

  10. A solution of the equation cos^2theta+sintheta+1=0 lies in the interva...

    Text Solution

    |

  11. The number of solution in [0,pi//2] of the equation cos3xtan5x=sin7x i...

    Text Solution

    |

  12. The general value of x satisfying the equation satisfying the equati...

    Text Solution

    |

  13. The smallest positive angle (in degree) which satisfies the equation 2...

    Text Solution

    |

  14. If 4sin^2theta=1, then the values of theta are 2npi+-pi/3,\ n in Z b....

    Text Solution

    |

  15. If cottheta-tantheta=sectheta , then theta is equal to

    Text Solution

    |

  16. A value of theta satisfying costheta+sqrt(3)\ sin theta=2 is a.(5pi)/3...

    Text Solution

    |

  17. If sqrt(3)costheta+sintheta=2 , then general value of theta is:

    Text Solution

    |

  18. General solution of tan5theta=cot2theta is a. (npi)/7+pi/2^(\ ) b. the...

    Text Solution

    |

  19. The solution of the equation cos^2theta+sintheta+1=0 lies ...

    Text Solution

    |

  20. If cos theta=-1/2 and 0^@ < theta < 360^@ then the solutions are

    Text Solution

    |