Home
Class 11
MATHS
Prove that (tan^2 theta)/(tan^2 theta-1)...

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

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 (tan^3theta-1)/(tantheta-1)=sec^2theta+tantheta .

Prove that (sec^2theta-sin^2theta)/tan^2theta=cosec^2theta-cos^2theta .

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

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

If tan theta=1/ sqrt7 , then ((cosec^2 theta-sec^2 theta)/(cosec^2 theta+sec^2 theta)) =

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

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

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

Prove that : tan^2 theta -sin^2 theta =tan^2 theta sin^2 theta .

Prove that : tan 3 theta= (3 tan theta-tan^3 theta)/(1-3 tan^2 theta) .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : sin 4A=4 sinA cos^3 A- 4 cosA sin^3 A.

    Text Solution

    |

  2. Prove that : sin3A+ sin 2A- sinA= 4 sinA cos frac (A)(2) cos frac (3...

    Text Solution

    |

  3. Prove that (tan^2 theta)/(tan^2 theta-1)+(cosec^2 theta)/ (sec^2 theta...

    Text Solution

    |

  4. If cos theta =1/2(a+1/a), prove that : 2 cos 2 theta= a^2+1/ a^2.

    Text Solution

    |

  5. If cos theta =1/2(a+1/a), prove that : 2 cos 4 theta= a^4+1/ a^4.

    Text Solution

    |

  6. If 2costheta=x+1/x, prove that 2cos3theta=x^3+1/x^3

    Text Solution

    |

  7. Prove that : 2 cos theta= sqrt (2+ sqrt(2+2 cos 4 theta)).

    Text Solution

    |

  8. Prove that sin A sin(60° - A) sin(60° + A) = 1/4 sin3A

    Text Solution

    |

  9. Prove that : tan A+tan (60^@+A)-tan (60^@-A)=3 tan 3A.

    Text Solution

    |

  10. Prove that : cos^2 A+cos^2 (A+120^@)+ cos^2 (A-120^@)=3/2.

    Text Solution

    |

  11. If tan^2 theta=2 tan^2 phi+1, show that cos 2 theta+ sin^2 phi=0.

    Text Solution

    |

  12. Find sinfrac(x)(2), cosfrac(x)(2) and tanfrac(x)(2) in the following:-...

    Text Solution

    |

  13. Find sinfrac(x)(2), cosfrac(x)(2) and tanfrac(x)(2) in the following:-...

    Text Solution

    |

  14. Find sinfrac(x)(2), cosfrac(x)(2) and tanfrac(x)(2) in the following:-...

    Text Solution

    |

  15. If tan frac (x)(2)= m/n, prove than m sin x+n cos x=n.

    Text Solution

    |

  16. If tan theta =a/b, prove that a sin 2 theta+b cos 2 theta=b.

    Text Solution

    |

  17. Prove that (cos^3 theta -cos 3 theta)/(cos theta)+ (sin^3 theta+sin3 t...

    Text Solution

    |

  18. Evaluate : sin frac (3 pi)(8).

    Text Solution

    |

  19. Evaluate : sin frac (5 pi)(24).

    Text Solution

    |

  20. Evaluate : tan frac (pi)(8).

    Text Solution

    |