Home
Class 14
MATHS
If (1 + tanA)(1 + tan B) = 2, then find ...

If (1 + tanA)(1 + tan B) = 2, then find the value of (A +B).

A

`(pi)/(2)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 11.1|5 Videos

  • TRIGONOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 11.2|18 Videos

  • TRIGONOMETRY

    ARIHANT SSC|Exercise Exercise Base Level Questions|75 Videos

  • TIME, SPEED AND DISTANCE

    ARIHANT SSC|Exercise SPEED TEST (TSD)|10 Videos

  • TRUE DISCOUNT AND BANKER'S DISCOUNT

    ARIHANT SSC|Exercise FAST TRACK PRACTICE|23 Videos

Similar Questions

Explore conceptually related problems

If angles A and B satisfy (1+tanA)(1+tanB)=2 , then the value of A +B is

If (1+tan A)(1+tan B)=2, the general value of A+B is

If tan(A+B)=x and tan(A-B)=y then find the values of tan 2A and tan2B

If tan A = 1 (0^@ lt A lt 90^@ ) and cos B = (1)/(sqrt2)(0^@ lt B lt 90^@) , then find the value of cos (A + B).

If A and B are acute angles such that tanA=(1)/(3) , tanB=(1)/(2) and tan(A+B)=(tanA+tanB)/(1-tanAtanB) , Then find the value of A+B .

If (1+tan A)(1+tan B)=2, find all values of A+B.

If tan A= 1/2 and tan B= 1/3 , then the value of A+B is

If tan A=(a)/(a+1) and tan B=(1)/(2a+1) then find the value of A+B

If tan A = (sin B)/(1 - cos B) ,then find the value of tan 2A .

ARIHANT SSC-TRIGONOMETRY-Higher Skill Level Questions
  1. If sec theta + tan theta = p , then sin theta is

    Text Solution

    |

  2. If sin theta + cos theta = x , then the value of cos^(6) theta + sin^...

    Text Solution

    |

  3. If (1 + tanA)(1 + tan B) = 2, then find the value of (A +B).

    Text Solution

    |

  4. If sin (10^(@) 6' 32'') = a , then the value of cos (79^(@) 53' 28'') ...

    Text Solution

    |

  5. If x + y =z, find the value of cos^2 x + cos^2 y +cos^2z- 2cosx.cosy.c...

    Text Solution

    |

  6. If costheta + sec theta =2, then the value of cos^6theta + sec^6 theta...

    Text Solution

    |

  7. If sintheta -costheta =0, find the value of sin[pi/2-theta]+cos""(pi/...

    Text Solution

    |

  8. The maximum value of sin^8 theta + cos^14 theta for all real values of...

    Text Solution

    |

  9. If l cos^2 theta + m sin^2 theta =(cos^2 theta (cosec^2theta +1))/(cos...

    Text Solution

    |

  10. DeltaABC is a right angled triangle, where angle ABC = 90^@,If AC = 2s...

    Text Solution

    |

  11. If cos x + cos^(2) x =1 then the value of sin^(12) x + 3 sin^(10)...

    Text Solution

    |

  12. If a cos theta-b sin theta = c, then find the value of a sin theta + b...

    Text Solution

    |

  13. If tan alpha = n tan beta and sin alpha = m sin beta, then cos^2 alpha...

    Text Solution

    |

  14. If sin theta cos theta = 1//2, then what is sin^6 theta +cos^6 theta e...

    Text Solution

    |

  15. The value of the expression cosec (75^(@)+theta) - sec(15^@)-theta)-ta...

    Text Solution

    |

  16. If cos x + sec x = 2, then what is cos ^(n) x + sec ^(n) x equal to,...

    Text Solution

    |

  17. If alpha and beta are complementary angles, then what is sqrt(cos alph...

    Text Solution

    |

  18. If sin theta + 2cos theta = -1, where 0 lt theta lt pi/2, what is 2 s...

    Text Solution

    |

  19. If sin (A +B) =1, where 0 lt B lt 45^@, what is cos (A -B) equal to ?

    Text Solution

    |

  20. If sin theta + cos theta = sqrt 3, then what is tan theta + cot thet...

    Text Solution

    |