Home
Class 12
MATHS
1+cottheta="cosec"theta...

`1+cottheta="cosec"theta`

A

`npi+(pi)/(2)`

B

`2npi-(pi)/(2)`

C

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

D

`2npipm(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Solve the equation tantheta-cottheta="cosec"theta

Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)

Eliminate theta " from the equations" x="cosec"theta+cottheta y="cosec"theta+cottheta .

If theta is a positive acute angle and "cosec"theta=sqrt(3) , then the value of cottheta-"cosec"theta is

Prove that : sqrt((1+costheta)/(1-costheta))="cosec"theta+cottheta

Prove that (cot theta + "cosec" theta -1 )/(cot theta - "cosec" theta +1)=(1+ cos theta)/(sin theta).

The value of (1+ cot theta + "cosec"theta) (1+ cot theta - "cosec"theta) is:

Prove that : (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+sectheta" cosec "theta

i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Prove that: (tantheta)/(1+cottheta)+(cottheta)/(1+tantheta) = "cosec"theta.sectheta-1

Prove that : (sintheta)/(sectheta+tantheta-1)+(costheta)/("cosec"theta+cottheta-1)=1

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. Find the most general value of theta which satisfies the equation s...

    Text Solution

    |

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

    Text Solution

    |

  3. 1+cottheta="cosec"theta

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. tantheta+sectheta=sqrt(3)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi...

    Text Solution

    |

  20. If costheta+cos3theta+cos5theta+cos7theta=0, then general value of the...

    Text Solution

    |