Home
Class 10
MATHS
Prove the following: (tantheta)/(secthe...

Prove the following:
`(tantheta)/(sectheta + 1)= (sectheta-1)/(tantheta)`

Text Solution

Verified by Experts

The correct Answer is:
`(tantheta)/(sectheta + 1)= (sectheta-1)/(tantheta)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    CHETAN PUBLICATION|Exercise PROBLEM SET -6 (MCQs)|4 Videos

  • TRIGONOMETRY

    CHETAN PUBLICATION|Exercise ADDITIONAL MCQs|10 Videos

  • TRIGONOMETRY

    CHETAN PUBLICATION|Exercise MASTER KEY QUESTION SET-6 PRACTICE SET -6.2|7 Videos

  • STATISTICS

    CHETAN PUBLICATION|Exercise ASSIGNMENT -6|12 Videos

Similar Questions

Explore conceptually related problems

Prove that following identities (costheta)/(1+sintheta)=sectheta-tantheta

Prove that: (tantheta)/(sectheta -1) = (tan theta + sec theta + 1)/(tan theta + sec theta -1)

If tantheta+sectheta =x ,find sintheta

Prove that (tan(90^(@)-theta))/(cosectheta+1)+(cosectheta+1)/cottheta=2sectheta

Prove that (tantheta +sectheta -1)/(tantheta-sectheta+1)=(1+sintheta)/costheta

Prove that sectheta(1-sintheta)(sectheta+tantheta)=1

(sectheta+tantheta)(sectheta-tantheta)= ……………

Prove that sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(sectheta-1))=2cosectheta

Prove that following identities sqrt((1+sintheta)/(1-sintheta))=sectheta+tantheta

Prove that identity (sintheta)/(cosectheta)+costheta/sectheta=1

CHETAN PUBLICATION-TRIGONOMETRY-PROBLEM SET -6
  1. If sin theta=11/61, ffind the value of cos theta using trigonometric i...

    Text Solution

    |

  2. If tan theta=2, find the values of other trigonometric ratios.

    Text Solution

    |

  3. If sec theta=13/12, find the values of other trigonometric ratios.

    Text Solution

    |

  4. Prove each of the following identities : (i) sec theta(1- sin theta)...

    Text Solution

    |

  5. Prove the following: (sec theta + tan theta)(1-sintheta) = costheta

    Text Solution

    |

  6. Prove the following: sec^2 theta + cosec^2 theta = sec^2 theta xx cos...

    Text Solution

    |

  7. Prove the following: cot^2 theta - tan^2 theta = cosec^2 theta - sec...

    Text Solution

    |

  8. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

    Text Solution

    |

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

    Text Solution

    |

  10. Prove the following: sec^6 x - tan^6 x = 1 + 3sec^2 x xx tan^2x

    Text Solution

    |

  11. Prove the following: (tantheta)/(sectheta + 1)= (sectheta-1)/(tanthet...

    Text Solution

    |

  12. Prove the following: (tan^3 theta - 1)/(tan theta - 1) = sec^2 theta ...

    Text Solution

    |

  13. Prove the following: (sin theta - cos theta + 1 )/(sin theta + cos th...

    Text Solution

    |

  14. A boy standing at a distance of 48 meters from a building observes the...

    Text Solution

    |

  15. From the top of a lighthouse , an observer looks at a ship and finds t...

    Text Solution

    |

  16. Two buildings are in front of each other on a road of width 15 meters....

    Text Solution

    |

  17. A ladder on the platform of a firebrigade van can be elevated at an an...

    Text Solution

    |

  18. While landing at an airport, a pilot made an angle of derpession of 20...

    Text Solution

    |