Home
Class 12
MATHS
Prove thatsqrt((cosec theta+cottheta)/(c...

Prove that`sqrt((cosec theta+cottheta)/(cosec theta-cottheta))=(sin theta)/(1-costheta)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|55 Videos

  • VECTOR

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|112 Videos

Similar Questions

Explore conceptually related problems

The value of sqrt((cosec theta-cot theta)/(cosec theta+cot theta)) div (sin theta)/(1+cos theta) is equal to: sqrt((cosec theta-cot theta)/(cosec theta+cot theta)) div (sin theta)/(1+cos theta) का मान निम्नलिखित में से किसक बराबर है?

1+cottheta="cosec"theta

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

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

Prove that: ("cosec" theta + cot theta)/("cosec" theta - cot theta) = ("cosec" theta + cot theta )^(2) = 1 + 2 cot^(2) theta + 2 "cosec" theta cot theta .

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

(sqrt((cosec^(2)theta-1)))/(cosec theta)=cos theta

(cosec theta+sin theta)(cosec theta-sin theta)=cot^(2)theta+cos^(2)theta

(cot theta+csc theta-1)/(cot theta-csc theta+1)=(1+cos theta)/(sin theta)

Prove that:- sqrt((1+cos theta) / (1-cos theta)) = cosec theta + cot theta

MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. Show that sin^2 46^@+sin^2 44^@=1.

    Text Solution

    |

  2. Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sinthe...

    Text Solution

    |

  3. Prove thatsqrt((cosec theta+cottheta)/(cosec theta-cottheta))=(sin the...

    Text Solution

    |

  4. Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sinthe...

    Text Solution

    |

  5. Prove that cosec^2theta+sec^2theta=(sec^2theta)/(sin^2theta)

    Text Solution

    |

  6. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=

    Text Solution

    |

  7. Prove that cos(120^@-A)+cosA+cos(120^@+A)=0.

    Text Solution

    |

  8. Prove that tan(45^@-theta)=(cos theta-sin theta)/(cos theta + sin thet...

    Text Solution

    |

  9. Prove that tan(pi/4+theta/2)=sec theta+tan theta

    Text Solution

    |

  10. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

    Text Solution

    |

  11. If A+B+C=pi, prove that sin 2A+sin 2B-sin 2C=4 cos A cos B sin C

    Text Solution

    |

  12. If A+B+C=pi, prove that tan A+tan B+tan C= tanA tan B tan C

    Text Solution

    |

  13. If A+B+C=pi/2, prove that tan A tan B+tan B tan C+tan C tan A=1

    Text Solution

    |

  14. If A+B+C=pi, prove that: "sin" A+"sin" B-"sin" C=4 "sin"(A)/(2)"sin...

    Text Solution

    |

  15. If A+B+C=pi and cos A=cos B. cosC,prove that cot B cot C=1/2

    Text Solution

    |

  16. Express sin 6theta+sin3theta as a product.

    Text Solution

    |

  17. Evaluate using multiple angle formula: sin15^@

    Text Solution

    |

  18. Evaluate using multiple angle formula: cos15^@

    Text Solution

    |

  19. Evaluate using multiple angle formula: tan15^@

    Text Solution

    |

  20. Prove that :(tan69^0+t a n 66^0)/(1-t a n 69^0t a n\ 66^0)=-1

    Text Solution

    |