Home
Class 14
MATHS
If tan alpha = (5)/(6) tan beta = (1)/(...

If ` tan alpha = (5)/(6) tan beta = (1)/(11)` then the value of ` alpha + beta` is

A

`-(pi)/(4)`

B

`pi/3`

C

`-(pi)/(3)`

D

`pi/4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ADVANCED TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 13A|49 Videos

  • ALGEBRAIC IDENTITIES

    LUCENT PUBLICATION|Exercise Exercise - 1B|28 Videos

Similar Questions

Explore conceptually related problems

If tan alpha = 1/5, tan beta =(1)/(239), then the value of tan (4 alpha -beta) is

If tan alpha=(m)/(m+1) and tan beta=(1)/(2m+1) Find the possible values of (alpha+beta)

If tan alpha = sqrt(3) and tan beta = (1)/(sqrt(3)) , then find the value of cot (alpha + beta) .

tan(alpha+beta)=(1)/(2),tan(alpha-beta)=(1)/(3), then find the value of tan2 alpha

If tan alpha=(5)/(6) and tan beta=(1)/(11) , alpha and beta in (0,(pi)/(4)) . Then the value of cos[pi-(a+beta)] is

If tan alpha=(5)/(6) and tan beta=(1)/(11) , alpha and beta in (0,(pi)/(4)) . Then the value of cos[pi-(a+beta)] is

If 5tan alpha tan beta=3 , then find the value of (cos(alpha+beta))/(cos(alpha-beta))

If sin alpha sin beta-cos alpha cos beta+1=0, then the value of 1+cot alpha tan beta is

LUCENT PUBLICATION-ADVANCED TRIGONOMETRIC IDENTITIES-EXERCISE 13A
  1. If tanalpha=(m)/(m+1)andtan beta=(1)/(2m+1), then (alpha+beta)=?

    Text Solution

    |

  2. (sin(x+y))/(sin(x-y))=(a+b)/(a-b), then (tanx)/(tany)=?

    Text Solution

    |

  3. If tan alpha = (5)/(6) tan beta = (1)/(11) then the value of alpha +...

    Text Solution

    |

  4. Maximum value of sin (x + (pi)/(6)) + cos (x + (pi)/(6)) is

    Text Solution

    |

  5. If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha ...

    Text Solution

    |

  6. If A = sin^(2)x + cos^(4)x, where x in a real number

    Text Solution

    |

  7. If x = tan 15^(@), y = cosec 75^(@) " and " z =4 sin 18^(@), then

    Text Solution

    |

  8. If sin theta =3 sin ( theta + 2 alpha), then the value of tan (theta...

    Text Solution

    |

  9. Expression (1)/(cos 290^(@)) + (1)/(sqrt(3) sin 250^(@)) equals

    Text Solution

    |

  10. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

    Text Solution

    |

  11. Prove that cos^(4)pi/8+cos^(4)(3pi)/(8)+cos^(4)(5pi)/8+cos^(4)(7pi)/...

    Text Solution

    |

  12. cos""(pi)/(15).cos""(2pi)/(15).cos""(4pi)/(15).cos""(8pi)/(15) is equa...

    Text Solution

    |

  13. (2)/(sqrt(2) + sqrt(2) + sqrt(2+2 cos 4x)) equals

    Text Solution

    |

  14. The value of cos 15^(@) cos 7 ((1)/(2))^(@)sin 7 ((1)/(2))^(@) is

    Text Solution

    |

  15. (cot x - tan x)/(cot 2x) equals

    Text Solution

    |

  16. tan 67 (1^(@))/(2) + cot 67 (1^(@))/(2) equals

    Text Solution

    |

  17. If sin 4 A - cos 2A = cos 4A - sin 2A, (0 lt A lt (pi)/(4)) then the ...

    Text Solution

    |

  18. (3-4 cos 2theta + cos 4 theta) equals

    Text Solution

    |

  19. If8 cos 2 theta + 8 sec 2theta = 65, 0 lt theta lt (pi)/(2) then the v...

    Text Solution

    |

  20. cos A cos 2A cos4 A…… cos2^(n-1) A equals

    Text Solution

    |