Home
Class 10
MATHS
Prove that (sec theta-tan theta+1)/(sec...

Prove that `(sec theta-tan theta+1)/(sec theta+tan theta+1)=(1-sin theta)/(costheta)`.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos

  • THEOREMS RELATED TO TANGENT IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.2|23 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

Prove the following identities: (sec theta-tan theta+1)/(sec theta+tantheta+1)=(1-sin theta)/(cos theta)

int (tan theta d theta)/(1-sin theta)

Show that cot theta +tan theta =sec theta cosec theta

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

tan theta + sec theta = sqrt(3)

Show that (sin^2 theta)/(1-cot theta)+(cos^2 theta)/(1-tan theta )=1+sin theta cos theta

Prove that (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

Prove that, 2 "cosec" 4 theta - sec2 theta = (1- tan theta)/(1+tan theta)"cosec" 2 theta

CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES -EXERCISE
  1. Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-cos theta)/(1+cos ...

    Text Solution

    |

  2. Prove that (sin A+sinB)/(cosB-cosA)=(cos A+cosB)/(sinA-sinB).

    Text Solution

    |

  3. Prove that (sec theta-tan theta+1)/(sec theta+tan theta+1)=(1-sin the...

    Text Solution

    |

  4. Prove that (1)/("cosec"alpha-cot alpha)-(1)/(sin alpha)=(1)/(sin alpha...

    Text Solution

    |

  5. If "cosec" theta- sin theta=m^(3) and sec theta-cos theta=n^(3), then ...

    Text Solution

    |

  6. eliminate theta : a(1) sec theta + b(1)tan theta+c(1)=0 , a(2)sec thet...

    Text Solution

    |

  7. If tan theta=(a)/(b) , then find the value of (sin theta)/(cos^(8)thet...

    Text Solution

    |

  8. If a^(2)sec^(2)alpha-b^(2)tan^(2)alpha=c^(2), then prove that sinalpha...

    Text Solution

    |

  9. If tan theta=k, then show that sec theta+tan^(3)theta "cosec"theta=(1...

    Text Solution

    |

  10. If tan^(2)theta=1-e^(2), then prove that sectheta+tan^(3)theta"cosec...

    Text Solution

    |

  11. If " cosec"theta-sin theta=m and sec theta-cos theta=n, then prove tha...

    Text Solution

    |

  12. If a sin x=b cosx=(2c tan x)/(1-tan^(2)x), then prove that (a^(2)-b^(...

    Text Solution

    |

  13. If (sin alpha-cosalpha)/(sin alpha+cosalpha)=tan theta, then prove tha...

    Text Solution

    |

  14. If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1, then ...

    Text Solution

    |

  15. If u(n)=sin^(n)alpha+cos^(n)alpha, then prove that 2u(6)-3u(4)+1=0.

    Text Solution

    |

  16. If theta be a positive acute angle and tan theta=(a)/(b), then find th...

    Text Solution

    |

  17. If tanA+sinA=m and tanA-sinA=n, then prove that m^(2)-n^(2)=4sqrt(mn)...

    Text Solution

    |

  18. If k tan theta=tan k theta, then prove that (sin^(2)k theta)/(sin^(2)...

    Text Solution

    |

  19. If c cos^(3)theta+3c cos theta sin^(2)theta=m and c sin^(3)theta+3c c...

    Text Solution

    |

  20. If x=r cos theta cos phi, y=r cos theta sin phi, z=r sin theta, then p...

    Text Solution

    |