Home
Class 10
MATHS
Prove that (((1+cot theta +tan theta)(si...

Prove that `(((1+cot theta +tan theta)(sintheta-costheta))/(sec^3theta -cosec^3theta))`=`(sin^2theta cos^2theta)`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES

    KALYANI PUBLICATION|Exercise EXERCISE|77 Videos

  • RECAPITULATION: RATIONAL AND IRRATIONAL NUMBERS

    KALYANI PUBLICATION|Exercise EXERCISE|23 Videos

  • similarity of geometric figures

    KALYANI PUBLICATION|Exercise EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

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

Prove the following (tantheta-cottheta)/(sintheta*costheta) =sec^2theta-cosec^2theta.

Eliminate theta and phi sintheta+costheta=a , sin^3theta+cos^3theta=b

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

Show that ((tan theta+sec theta-1)/(tan theta-sec theta +1))=(1+sin theta)/(cos theta) .

Prove that tan^4theta+tan^2theta=sec^4theta-tan^2theta-1

Prove that (sintheta-sin5theta+sin9theta-sin13theta)/(costheta-cos5theta-cos9theta+cos13theta)=cot4theta

Prove the following sec^2theta+ cosec^2theta= sec^2theta*cosec^2theta

Prove the following (sintheta +cosectheta) ^2+(costheta+sectheta) ^2=7+tan^2theta+cot^2theta

Prove that cos (2theta) /(1+sin 2 theta)=tan(pi/4-theta)

KALYANI PUBLICATION-RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES-EXERCISE
  1. Prove that (((1+cot theta +tan theta)(sintheta-costheta))/(sec^3theta ...

    Text Solution

    |

  2. Express sin theta, cos theta,cot thetain terms of sec theta .

    Text Solution

    |

  3. Express tan theta, sec theta, cot thetain terms of cos theta.

    Text Solution

    |

  4. Express sin theta,cos theta,tan thetain terms of cosec theta.

    Text Solution

    |

  5. Express cos theta, cot theta, tan thetain terms of sin theta.

    Text Solution

    |

  6. Prove the following identities using geometry sin^2 theta+cos^2theta=...

    Text Solution

    |

  7. Prove the following identities using geometry 1+tan^2theta=sec^2theta

    Text Solution

    |

  8. Prove the following identities using geometry 1+cot^2theta=cosec^2thet...

    Text Solution

    |

  9. Prove the following (1 + tan^2 theta)(1- sin ^2theta) = 1

    Text Solution

    |

  10. Prove the following (sec ^2theta -1) cos^2 theta=sin^2theta

    Text Solution

    |

  11. Prove the following tan ^2theta-sin^2theta =tan^2theta* sin^2theta

    Text Solution

    |

  12. Prove the following (sin theta) /(1+costheta) =(1-costheta) /(sintheta...

    Text Solution

    |

  13. Prove the following (1 + sectheta) /(sectheta )=(sin^2theta) /(1-costh...

    Text Solution

    |

  14. Prove the following sec^2theta+ cosec^2theta= sec^2theta*cosec^2theta

    Text Solution

    |

  15. Prove the following 1+(cot^2theta) /(1+cosectheta)=cosectheta

    Text Solution

    |

  16. Prove the following (tantheta-cottheta)/(sintheta*costheta) =sec^2thet...

    Text Solution

    |

  17. Prove the following tan^2A- tan^ 2B=(sin^2A-sin^2B)/(cos^2A*cos^2B) =...

    Text Solution

    |

  18. Prove the following (cos ^2A* sin^2 B)- (sin^2 A* cos ^2B)= cos^2 A- c...

    Text Solution

    |

  19. Prove the following 1/(1-sintheta) +1/(1+sintheta) =2sec^2theta

    Text Solution

    |

  20. Prove the following 1/(sectheta-tantheta) -1/costheta=1/costheta-1/(se...

    Text Solution

    |

  21. Prove the following 1/(cosectheta-cottheta) -1/sintheta=1/sintheta-1/(...

    Text Solution

    |