Home
Class 11
MATHS
Prove that: (1-tanA)^(2)+(1-cotA)^(2)=...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3C|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3D|45 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3A|12 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

Prove that (1+tanA)^(2)+(1-tanA)^(2)=2sec^(2)A .

Prove that : (1 + cot A)^(2) + (1 - cot A)^(2) = 2 cosec^(2) A

prove that ((1-tanA)/(1-cotA))^2=tan^2A

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

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

Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A

Prove that : (1+cotA)/(cosA)+(1+tanA)/(sinA)=2(secA+"cosec"A)

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

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

Prove that: (sin2A)/(1+cos2A)=tanA

NAGEEN PRAKASHAN ENGLISH-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. about to only mathematics

    Text Solution

    |

  12. Prove that: [1/(sec^(2)A-cos^(2)A)+1/("cosec"^(2)A-sin^(2)A)].sin^(2)A...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If a costheta-bsintheta=c , prove that a sintheta+bcostheta=+-sqrt(a^2...

    Text Solution

    |

  18. If cottheta(1+s intheta)=4ma n dcottheta(1-s intheta)=4n , prove that ...

    Text Solution

    |

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

    Text Solution

    |

  20. If a costheta-bsintheta=c , prove that a sintheta+bcostheta=+-sqrt(a^2...

    Text Solution

    |