Home
Class 11
MATHS
Prove that: i) sqrt((1-cosA)/(1+cosA))...

Prove that:
i) `sqrt((1-cosA)/(1+cosA))="cosec"A-cotA`
ii) `sqrt((1+sinA)/(1-sinA))=secA-tanA`

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3C|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3D|38 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3A|11 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

Prove that sqrt((1+cosA)/(1-cosA))=("cosec"A+cotA).

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

secA(1-sinA)(secA+tanA)=1

Prove that : (i) (1)/(1-cosA)+(1)/(1+cosA)=2"cosec"^(2)A " " (ii) (1)/(1-sinA)-(1)/(1+sinA)=2secAtanA

Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A

Prove that: sinA(1+tanA)+cosA(1+cotA)= secA+"cosec"A

Prove that sqrt[(1+sinA)/(1 - sinA)] = secA + tanA

Prove that: sqrt((1+cosA)/(1-cosA))={:("cosec"A+cotA, if 0ltAltpi),(-"cosec"A-cotA, if pi lt A lt 2pi):}

Prove that (cotA-cosA)/(cotA+cosA)=(cosecA-1)/(cosecA+1)

NAGEEN PRAKASHAN-TRIGNOMETRIC FUNCTIONS-EXERCISES 3B
  1. Prove that: i) sqrt((1-cosA)/(1+cosA))="cosec"A-cotA ii) sqrt((1+s...

    Text Solution

    |

  2. Prove that: i) cot^(2)A+cot^(4)A="cosec"^(4)A-"cosec"^(2)A ii) tan...

    Text Solution

    |

  3. Prove that: (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

    Text Solution

    |

  4. i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Pr...

    Text Solution

    |

  5. Prove that: sinA(1+tanA)+cosA(1+cotA)= secA+"cosec"A

    Text Solution

    |

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

    Text Solution

    |

  7. Prove that: 2sec^(2)A-sec^(4)A-2"cosec"^(2)A+"cosec"^(4)A=cot^(4)A-t...

    Text Solution

    |

  8. Prove that: 1-(sin^(2)A)/(1+cotA)-(cos^(2)A)/(1+tanA)=sinA.cosA

    Text Solution

    |

  9. i) Prove that: (cot^(2)A)/(1-"cosec"A)^(2)=(1+sinA)/(1-sinA) ii) Pro...

    Text Solution

    |

  10. Prove that: (secAsecB+tanAtanB)^(2)-(secAtanB+tanAsecB)^(2)=1

    Text Solution

    |

  11. Prove that: 3(sinA-cosA)^(4)+6(sinA+cosA)^(2)+4(sin^(6)A+cos^(6)A)=13

    Text Solution

    |

  12. i) Prove that: [(1-sinA)/(1-secA)-(1+sinA)/(1+secA)]=2cotA(cosA-"cose...

    Text Solution

    |

  13. If costheta-sintheta=sqrt(2)sintheta, then prove that: costheta+sint...

    Text Solution

    |

  14. If asin^(2)theta+bcos^(2)theta=c, then prove that tan^(2)theta=(c-b)/(...

    Text Solution

    |

  15. i) If acostheta+bsintheta=m and asintheta-bcostheta=n, then prove that...

    Text Solution

    |

  16. If acostheta-bsintheta=c, then prove that: asintheta+bcostheta=+-sqr...

    Text Solution

    |

  17. If cottheta(1+sintheta)=4m and cottheta(1-sintheta)=4n, then prove tha...

    Text Solution

    |

  18. If tantheta+sintheta=m and tantheta-sintheta=n, then prove that: m^(2)...

    Text Solution

    |

  19. If acostheta+bsintheta=c, then prove that: asintheta-bcostheta=+-sqr...

    Text Solution

    |

  20. If (1-sinA)(1-sinB)(1-sinC)=(1+sinA)(1+sinB)(1+sinC), then prove that ...

    Text Solution

    |