Home
Class 11
MATHS
Prove that (cosec theta- sin theta) ( se...

Prove that `(cosec theta- sin theta) ( sec theta-cos theta) ( tan theta+ cot theta)=1`.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

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

Prove the following identity : (sec theta-cos theta) (cosec theta-sin theta)=1/(tan theta+ cot theta) .

Prove that : sin 2 theta= 2sin theta cos theta .

Prove that : (sec theta-tan theta)/(sec theta+tan theta)= 1-2 sec theta tan theta+ 2 tan^2 theta .

Verify that [(cos theta, sin theta),(-sin theta, cos theta)] and [(cos theta, - sin theta),(sin theta, cos theta)] are inverse of each other.

Prove the following identity : (sin theta+ cos theta) (sec theta+ cosec theta) =2+ sec theta cosec theta .

Prove that (1 +cot theta -cosec theta )(1+tan theta +sec theta )=2.

Prove that (sin theta-cos theta+1)/(sin theta+cos theta-1)=1/(sec theta-tan theta) ,using the identity sec^2 theta=1+tan^2 theta .

Prove that : (sin theta)/(1+cos theta) + (1+cos theta)/(sin theta)= 2 cosec theta .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Assuming that the earth’s radius is 6400 km and that it subtends an an...

    Text Solution

    |

  2. Prove the following identity : sin theta cot theta+ sin theta cosec ...

    Text Solution

    |

  3. Prove that (cosec theta- sin theta) ( sec theta-cos theta) ( tan theta...

    Text Solution

    |

  4. Prove the following identity : sin theta (1+tan theta)+ cos theta(1+...

    Text Solution

    |

  5. Prove the following identity : (sin theta+ cos theta) (sec theta+ co...

    Text Solution

    |

  6. (cosec theta -sin theta) (sec theta - cos theta) (tan theta + cot thet...

    Text Solution

    |

  7. Prove the following identity : sin^2 A cos^2 B + cos^2 A sin^2 B + c...

    Text Solution

    |

  8. Prove the following identity : (sin theta tan theta)/ (1-cos theta)=...

    Text Solution

    |

  9. Prove the following identity : (1+cos theta)/(1-cos theta)= (tan^2 t...

    Text Solution

    |

  10. Prove the following identity : (1-sin theta)/(1+sin theta)= (sec the...

    Text Solution

    |

  11. Prove the following identity : sqrt ((1-cos theta)/(1+cos theta)) = ...

    Text Solution

    |

  12. Prove the following identity : sqrt ((1+cos theta)/ (1-cos theta))=c...

    Text Solution

    |

  13. Prove the following identity : sqrt ((1+sin theta)/ (1-sin theta)) =...

    Text Solution

    |

  14. Prove the following identity : cot^2 theta- cos^2 theta= cot^2 theta...

    Text Solution

    |

  15. Prove the following identity : sin^4 theta+ cos^4 theta= 1-2 sin^2 t...

    Text Solution

    |

  16. Prove the following identity : cos^4 theta- sin^4 theta= cos^2 theta...

    Text Solution

    |

  17. Prove the following identity : sec^4 theta- tan^4 theta =1+2 tan^2 t...

    Text Solution

    |

  18. Prove the following identity : sin^6 theta+ cos^6 theta= 1-3 sin^2 t...

    Text Solution

    |

  19. Prove the following identity : 2 (sin^6 theta+ cos^6 theta)-3 (sin^4...

    Text Solution

    |

  20. Prove the following identity : 2u6-3u4+1=0, where un =cos^n theta+ s...

    Text Solution

    |