Home
Class 11
MATHS
Prove that: (tan(pi/4+A)+tan(pi/4-A))/...

Prove that:
`(tan(pi/4+A)+tan(pi/4-A))/(tan(pi/4+A)-tan(pi/4-A))="cosec"2A`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3E|19 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3F|26 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3C|18 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

Prove that: tan(pi/4+A)+tan(pi/4-A) = 2sec2A

Prove that: tan(pi/4+A). Tan((3pi)/4)+A=-1

Prove that: (tan(pi/4+A))/(tan(pi/4-A))=((1+tanA)/(1-tanA))^(2)

Prove that: (tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2

Prove that (1-tan^2(pi/4-A))/(1+tan^2(pi/4-A))=sin2Adot

Prove that (1-tan^2(pi/4-A))/(1+tan^2(pi/4-A))=sin2Adot

Prove that tan(pi/16)+2tan(pi/8)+4=cot (pi/16) .

Prove that (tan(pi/4+x))/(tan(pi/4-x))=((1+t a n x)/(1-t a n x))^2

Prove that: (cos2A)/(1+sin2A) = tan(pi/4-A)

Prove that tan(pi/16)+2tan(pi/8)+4=cot(pi/6) .

NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3D
  1. Prove that: (cos(60^(@)-A)+sin(30^(@)-A))/(cos(30^(@)-A)-sin(60^(@)-A)...

    Text Solution

    |

  2. i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2

    Text Solution

    |

  3. Prove that: (tan(pi/4+A)+tan(pi/4-A))/(tan(pi/4+A)-tan(pi/4-A))="cos...

    Text Solution

    |

  4. Prove that: (sin(A-B))/(cosAcosB)+(sin(B-C))/(cosBcosc)+(sin(C-A))/(...

    Text Solution

    |

  5. Prove that: sinAsin(B-C)+sinBsin(C-A)+sinCsin(A-B)=0

    Text Solution

    |

  6. Prove that: cot2Acot3A-cot3Acot5A-cot5Acot2A=1

    Text Solution

    |

  7. Prove that: cotA-cot2A="cosec"2A

    Text Solution

    |

  8. Prove that: cos^2A+cos^2B-2cosA\ cos B cos\ (A+B)=sin^2(A+B)

    Text Solution

    |

  9. If tan B=(n sin A cos A)/(1-n cos^(2)A), then tan(A+B) equals to

    Text Solution

    |

  10. If tan B=(n sin A cos A)/(1-n cos^(2)A), then tan(A+B) equals to

    Text Solution

    |

  11. If 2tanB +cotB=tanA, prove that: 2tan(A-B)=cotB

    Text Solution

    |

  12. i) If tan (A+B) = n tan (A-B), prove that: (n+1)/(n-1) = (sin2A)/(sin...

    Text Solution

    |

  13. If A+B=225^(@), then find the value of (cotA)/(1+cotA)xx(cot B)/(1+cot...

    Text Solution

    |

  14. If cos(A+B)sin(C-D)="cos"(A-B)"sin"(C+D) , then write the value of t a...

    Text Solution

    |

  15. If alphaa n dbeta are the solutions of acostheta+bs intheta=c , then s...

    Text Solution

    |

  16. If sinA + sinB = a and cosA+cosB=b, prove that: i) sin(A+B)=(2ab)/(a...

    Text Solution

    |

  17. Prove that the value of 5 costheta+3 cos(theta+pi/3) lies between -7 a...

    Text Solution

    |

  18. Prove that: tan10^(@)tan50^(@)+tan50^(@)tan70^(@)+tan70^(@)tan170^(@...

    Text Solution

    |

  19. prove that sin2x+2sin4x+sin6x=4cos^(2)x.sinx

    Text Solution

    |

  20. Prove that: (sin7A+sin5A+sin9A+sin3A)/(cos3A+cos5A+cos7A+cos9A)= tan...

    Text Solution

    |