Home
Class 14
MATHS
Prove that (tanA+secA-1)/(tanA-secA+1)=(...

Prove that `(tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)`.

A

`(sinA-1)/(cosA)`

B

`(1-sinA)/(cosA)`

C

`(1-cosA)/(sinA)`

D

`(sinA+1)/(cosA)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -III|90 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

Prove that: (tanA+ sec A-1)/(tan A-secA+1)=(cosA)/(1-sinA)

Prove that : (tanA+sinA)/(tanA-sinA)=(secA+1)/(secA-1)

Prove that: (1+cosA+sinA)/(1+cosA-sinA)=(1+sinA)/(cosA)

Prove that : (secA+1)/(tanA)=(tanA)/(secA-1)

Prove that (1+secA+tanA)(1-cosecA+cotA)=2

Prove that (1+secA)/(secA)=(sin^(2)A)/(1-cosA).

Prove that : (secA+tanA)(1-sinA)=cosA

(1+secA)/secA=(sin^2A)/(1-cosA)

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. sec(4x-50^(@))="cosec"(50^(@)-x) then the value of x is

    Text Solution

    |

  2. The value of (1+sec20^(@)+cot70^(@))(1-"cosec"20^(@)+tan70^(@)) is...

    Text Solution

    |

  3. Prove that (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA).

    Text Solution

    |

  4. If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, th...

    Text Solution

    |

  5. If sin(A-B)=sinAcosB-cosAsinB, then sin15^(@) will be

    Text Solution

    |

  6. If sec x+cosx=2 , the the value of sec^(16)x+cos^(16)x will be

    Text Solution

    |

  7. If sin^(4)theta+cos^(4)theta=2sin^(2)thetacos^(2)theta,theta is an a...

    Text Solution

    |

  8. Find the value of tan4^(@).tan43^(@).tan47^(@).tan86^(@).

    Text Solution

    |

  9. If xcostheta-sintheta=1, then x^(2)+(1+x^(2))sintheta equals-

    Text Solution

    |

  10. The value of (cos53^(@)-sin37^(@)) is

    Text Solution

    |

  11. If "cosec"theta+sintheta=(5)/(2) , then the value of ("cosec"theta-si...

    Text Solution

    |

  12. If o^(@)leAle90^(@), the simplified form of the given expression...

    Text Solution

    |

  13. If theta is an acute angle and tan^(2)theta+(1)/(tan^(2)theta)=2 ...

    Text Solution

    |

  14. If tantheta+cottheta=5 , then tan^(2)theta+cot^(2)theta is

    Text Solution

    |

  15. If 1+cos^(2)theta=3sinthetacostheta , then the integral value of co...

    Text Solution

    |

  16. The value of the following is : 3(sin^(4)theta+cos^(4)theta)+2(si...

    Text Solution

    |

  17. If (sec theta+tan theta)/(sec theta-tan theta)= 2 51/79, then the valu...

    Text Solution

    |

  18. If sin(2a+45^(@))=cos(30^(@)-a), where 0^(@)lt90^(@) , then the val...

    Text Solution

    |

  19. In DeltaABC,angleC=90^(@)andAB=c,BC=a, CA=b , then the value of cos...

    Text Solution

    |

  20. If tantheta-cottheta=0andtheta is positive acute angle , then the ...

    Text Solution

    |