Home
Class 11
MATHS
If A+B = (pi)/4, then prove that (1+tanA...

If `A+B = (pi)/4`, then prove that `(1+tanA)(1+tanB) = 2`.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(A)|39 Videos

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(B)|12 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |18 Videos

Similar Questions

Explore conceptually related problems

If A-B=(3pi)/(4) , that show that (1- tan A) (1+tan B)=2

If A+B=pi//4 , then prove that (cotA-1)(cotB-1)=2

If 0 lt A lt pi/4 , then prove that tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^(3)A)=

If A + B = (pi)/(2) or (3pi)/(2) then prove that tan A - tan B = 2 tan (A - B).

If A+B+C=(pi)/(2) , then prove that sin ^(2) A+ sin ^(2) B + sin ^(2) C=1-2 A sin B sin C .

If A + B = (pi)/(4) , show that (cot A - 1) (cot B - 1) = 2 and hence deduce that cot 22^((1^(0))/(2))=sqrt(2)+1.

If none of 2A, 3A is an odd multiple of pi/2 then prove that tan 3A tan2A tanA = tan 3A-tan2A-tanA

If A+B+C=(pi)/(2) , then prove that cos 2A + cos 2B + cos 2C=1+4 sin A sin B sin C .

If none of 2A and 3A is an odd multiple of pi/2 , then prove that tan3A.tan2A.tanA=tan3A-tan2A-tanA .

If A + B = 135^(@) then (TanA.TanB)/((1+TanA)(1+TanB)) =

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(F)
  1. If A+B = (pi)/4, then prove that (1+tanA)(1+tanB) = 2.

    Text Solution

    |

  2. If A+B+C=pi then prove that sin2A-sin2B+sin2C=4cosAsinBcosC

    Text Solution

    |

  3. If A, B, C are angles of a triangle , prove that cos 2A - cos 2B + ...

    Text Solution

    |

  4. If A, B, C are angles in a triangle , prove that sin A+ sin B -sin ...

    Text Solution

    |

  5. IF A,B,C are angles in the triangle, then prove that cosA+cosB-cosC=...

    Text Solution

    |

  6. If A, B , C are angles in a triangle, then the sin ^(2)A+sin ^(2)B - s...

    Text Solution

    |

  7. If A, B, C are angles in a triangle , then prove thatcos^(2)A+cos^(2...

    Text Solution

    |

  8. If A+B+ C =pi, then prove that cos ^(2) (A/2)+ cos ^(2) (B/2) +cos ^(2...

    Text Solution

    |

  9. If A, B , C =pi, then prove that cos ^(2). (A)/(2)+ cos^(2). (C)/(2)...

    Text Solution

    |

  10. In triangle ABC, prove that cos .(A)/(2)+cos.(B)/(2)+cos. (C)/(2) =4 c...

    Text Solution

    |

  11. In Delta ABC, prove that cos. (A)/(2)+cos. (B)/(2) - cos .(C)/(2)=4cos...

    Text Solution

    |

  12. In triangle ABC , prove that sin .(A)/(2)+ sin. (B)/(2) -sin. (C)/(2)=...

    Text Solution

    |

  13. If A+B+C=(pi)/(2), then prove that cos 2A + cos 2B + cos 2C=1+4 sin A ...

    Text Solution

    |

  14. If A+B+C=(3pi)/(2), prove that cos ^(2)A+ cos ^(2) B- cos ^(2)C=-2 cos...

    Text Solution

    |

  15. If A+B+C=270^(@) then show that sin2A+sin2B-sin2C=-4sinAsinBcosC

    Text Solution

    |

  16. If A+B+C=270^(@) then show that sin2A+sin2B-sin2C=-4sinAsinBcosC

    Text Solution

    |

  17. If A+B+C=0^(@) then prove that sinA+sinB-sinC=-4"cos"A/2"cos"B/2"sin...

    Text Solution

    |

  18. If A+B+C+D=360^(@) then show that sinA-B+sinC-sinD= -4cos((A+B)/2)...

    Text Solution

    |

  19. If A+B+C+D=360^(@), the prove that cos 2A + cos 2B + cos 2C + cos 2D =...

    Text Solution

    |

  20. If A+B+C = 2S, then prove that sin(S-A)+sin(S-B)+sinC = 4 cos ((S-A)...

    Text Solution

    |

  21. IF A+B+C=2S, then prove that cos(S-A)+cos(S-B)+cosC=-1+4cos""(S-A)/2...

    Text Solution

    |