Home
Class 12
MATHS
Find the most general value of theta w...

Find the most general value of ` theta ` which satisfies the equation ` sin theta =-(1)/(2) and tan theta =(1)/(sqrt(3))`

A

`npi+(-1)^(n)(pi)/(6)`

B

`npi+(pi)/(6)`

C

`2npipm(pi)/(6)`

D

`2npi+(7pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

The most general value of theta which satisfy both the equation cos theta =-(1)/(sqrt(2)) and tan theta =1 , is

Find the general values of theta which satisfies the equation tan theta =-1 and cos theta =(1)/(sqrt(2))

What are the most general values of theta which satisfy the equations tantheta = -1

Find the most general value of theta which satisfies both the equations, (i) "sin"theta=-(1)/(2),costheta=-(sqrt(3))/(2) (ii) cosectheta=2,cot theta=-sqrt(3) (iii) cottheta=-(1)/(sqrt(3)),cosec theta=-(2)/(sqrt(3))

What are the most general values of theta which satisfy the equations sintheta = 1/sqrt2

The most general value of theta satisfying the equations sin theta=(1)/(sqrt(2)) and cos theta=-(1)/(sqrt(2)) is

The most general value of theta which satisfies both the equation tan theta=sqrt(3) and cos ec theta=-(2)/(sqrt(3)) is

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. If cottheta+tantheta=2cosectheta, the general value of theta is

    Text Solution

    |

  2. General solution of tantheta+tan((pi)/(2)-theta)=2 is

    Text Solution

    |

  3. Find the most general value of theta which satisfies the equation s...

    Text Solution

    |

  4. If n is any integer, then the general solution of the equation cosx-si...

    Text Solution

    |

  5. 1+cottheta="cosec"theta

    Text Solution

    |

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

    Text Solution

    |

  7. cottheta + cot(pi/4 + theta)=2

    Text Solution

    |

  8. If sin^(2)x-2cosx+(1)/(4)=0, then x has value

    Text Solution

    |

  9. tantheta+sectheta=sqrt(3)

    Text Solution

    |

  10. If r sintheta=3,r=4(1+sintheta),0lethetale2pi,"then "theta=

    Text Solution

    |

  11. The general value of theta satisfying the equation 2sin^(2)theta-3sint...

    Text Solution

    |

  12. If 2cos^(2)x+3sinx-3=0,0lexle180^(@), then x =

    Text Solution

    |

  13. If 4 sin^2 theta + 2(sqrt3 + 1) cos theta = 4 + sqrt3 then the gen...

    Text Solution

    |

  14. If sin(A+B)=1andcos(A-B)=(sqrt(3))/(2), then the smallest positive val...

    Text Solution

    |

  15. If cos7theta=costheta-sin4theta, then the general value of theta is

    Text Solution

    |

  16. If (1-tan^2theta)/(sec^2theta)=1/2 then the general value of theta is

    Text Solution

    |

  17. sqrt(3)tan2theta+sqrt(3)tan3theta+tan2thetatan3theta=1

    Text Solution

    |

  18. If tantheta+tan2theta+tan3theta=tanthetatan2thetatan3theta, then the g...

    Text Solution

    |

  19. If 2tan^(2)theta=sec^(2)theta, then the general solution of theta-

    Text Solution

    |

  20. General solution of the equation tanthetatan2theta=1 is given by

    Text Solution

    |