Home
Class 11
MATHS
If A+B=45^(@), then shown that (1+tanA)(...

If `A+B=45^(@)`, then shown that `(1+tanA)(1+tanB)=2`.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|67 Videos

  • STRAIGHT LINES

    JBD PUBLICATION|Exercise EXAMPLE|39 Videos

Similar Questions

Explore conceptually related problems

If A+B=45^(@) , show that (1+tanA)(1+tan B)=2 .

If tan A = sqrt2-1 show that (tanA)/(1+tan^2A)=(sqrt2)/4 = sinA cos A .

If A+B+C=180^@ then (tanA+tanB+tanC)/(tanAtanBtanC) is equal to:

If angle C of triangle ABC is 90^0, then prove that tanA+tanB=(c^2)/(a b) (where, a , b , c , are sides opposite to angles A , B , C , respectively).

If A-B=pi/4 the (1+tanA)(1-tanB) is equal to:

If A+B=45^@ then then (cot A- 1) (cot B- 1) is equal to :

If A= 30^@ verify that :- sinA=tanA/ sqrt(1+tan^2A) .

Prove that : tan (45^@+A)= (1+tanA)/(1-tanA) .

Prove that : tan (45^@-A)= (1-tanA)/(1+tanA) .

JBD PUBLICATION-TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

    Text Solution

    |

  2. Show that: tan5x-tan3x-tan2x=tan5xtan3xtan2x

    Text Solution

    |

  3. If A+B=45^(@), then shown that (1+tanA)(1+tanB)=2.

    Text Solution

    |

  4. Prove that tan2x=(2tanx)/(1-tan^2 x)

    Text Solution

    |

  5. Prove that:(sin2x)/(1+cos2x)=tanx

    Text Solution

    |

  6. Show tha: cos4A=1-8cos^2A+8cos^4A.

    Text Solution

    |

  7. Show tha: cos6A=32cos^6A-48cos^4A+18cos^2A-1

    Text Solution

    |

  8. Prove the following: (sin5x + sin 3x)/(cos5x + cos3x)=tan4x

    Text Solution

    |

  9. Prove the following:sin(150^@+x)+sin(150^@-x)=cosx

    Text Solution

    |

  10. Prove that sin51^(@)+cos81^(@)=cos21^(@) .

    Text Solution

    |

  11. Show that: sn10^@+sin20^@+sin40^@+sin50^@=sin70^@+sin80^@

    Text Solution

    |

  12. Find the principal solutions (0 le x le 2pi) of the following euqtions...

    Text Solution

    |

  13. Find the principal solutions (0 le x le 2pi) of the following euqtions...

    Text Solution

    |

  14. Find the principal and general solutions of the following equation:- t...

    Text Solution

    |

  15. Find the principal and general solutions of the following equation:- s...

    Text Solution

    |

  16. Find the general solution of the following equations: cos 4 x = cos 2x

    Text Solution

    |

  17. Find the general solutions of the equations sinx+sin3x+sin5x=0.

    Text Solution

    |

  18. Find the general solution of the following equations: cos 4 x = cos 2x

    Text Solution

    |

  19. An athlete runs 4 times around a circular running a path to describe 1...

    Text Solution

    |

  20. Prove that: cot^2frac (pi)(6)+cosecfrac (5pi)(6)+3tan^2frac (pi)(6)=6

    Text Solution

    |