Home
Class 12
MATHS
If A+B=pi/4, then (1+tan A) (1+tanB) is ...

If A+B=`pi/4`, then (1+tan A) (1+tanB) is equal

A

1

B

2

C

`sqrt(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (4) TRUE AND FALSE|5 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (4) FILL IN THE BLANKS|10 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (3) (FILL IN THE BLANKS)|2 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If A-B=pi/4, then (1+tan A)(1-tan B) is equal to 2 b.1 c.0 d.3

If A-B = pi/4 , then (1+tanA)(1-tanB)=

If A+B=(pi)/(4), then (tan A+1)(tan B+1) equals

If A-B=(pi)/(4) , then (1+tanA)(1-tanB)=?

If sinA+sinB=(pi)/(4),then (tanA+1)(tanB+1) is equal to

AB = (pi) / (4), then (1 + tan A) (1-tan B) =

theta+phi=(pi)/(4) then (1+tan theta)(1+tan phi) is equal to

If theta+phi=(pi)/(4),then(1+tan theta)(1+tan phi) is equal to

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

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
  1. The value of sqrt3cot20^(@)-4cos20^(@) is

    Text Solution

    |

  2. If If x cosalpha+y sinalpha=2a, x cos beta+y sinbeta=2aand 2sin""(alph...

    Text Solution

    |

  3. If A+B=pi/4, then (1+tan A) (1+tanB) is equal

    Text Solution

    |

  4. If f (x) = ( cot x )/( 1+ cot x ) and theta +phi = ( 5pi )/( 4), then ...

    Text Solution

    |

  5. If sin A + sin B =a and cos A + cos B = b, then cos ( A + B ) =

    Text Solution

    |

  6. If cos A + cos B =a, and sin A + sin B = b where a,b cancel(=)0, then ...

    Text Solution

    |

  7. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

    Text Solution

    |

  8. If tan((theta)/(2))=5/2and tan((phi)/(2))=3/4, the value of cos(theta+...

    Text Solution

    |

  9. If 2 cos theta = x + ( 1)/( x) , 2 cos phi = y + ( 1)/( y ), then cos...

    Text Solution

    |

  10. sin 12^(@) sin 48^(@) sin 54^(@) is equal to

    Text Solution

    |

  11. The value of sin"" ( pi )/(7 ) +sin"" ( 2pi )/( 7 ) + sin "" ( 3pi )/...

    Text Solution

    |

  12. cos"" ( 2pi )/( 7 ) + cos "" ( 4pi )/( 7 ) + cos "" ( 6pi )/( 7 )

    Text Solution

    |

  13. cos 0 + cos"" ( pi )/( 7 ) + cos "" ( 2pi )/(7) + cos"" ( 3pi)/(7)+ co...

    Text Solution

    |

  14. The value of cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""(7pi)...

    Text Solution

    |

  15. The average of sin 2^(@) , sin 4^(@) , sin 6^(@),"….." sin180^(@) is

    Text Solution

    |

  16. Let z = cos theta + isin theta. Then the value of sum(m=1)^(15) Im(z^(...

    Text Solution

    |

  17. sin"" (pi )/( n ) + sin "" ( 3pi)/( n ) + sin"" ( 5pi)/( n ) +"…."n te...

    Text Solution

    |

  18. sum(r=1)^(n-1)sin^(2)"" (r pi )/( n ) equals

    Text Solution

    |

  19. Given that ( 1+ sqrt( 1+ y )) tan y = 1+sqrt( 1-y) Then sin 4y is equ...

    Text Solution

    |

  20. For a positive integer n, let f(n) ( theta ) = ( tan "" ( theta )/( 2)...

    Text Solution

    |