Home
Class 12
MATHS
If tan (alpha- beta )= (7)/(24) and tan ...

If `tan (alpha- beta )= (7)/(24) and tan alpha =(4)/(3)`, where `alpha and beta ` are in the first quadrant prove that ` alpha + beta = pi //2`

Text Solution

Verified by Experts

The correct Answer is:
`=(3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise VSAQ|51 Videos
  • TRIGONOMETRIC EQUATIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

Similar Questions

Explore conceptually related problems

If tan (alpha - beta) = 7/24 and tan alpha = 4/3 , where alpha , beta are in first quadrant P.T alpha + beta = pi//2

(1+tan alpha tan beta)^(2) + (tan alpha -tan beta)^(2) =

If tan(alpha-beta)=(sin 2beta)/(3-cos2beta) , then

If (sin(alpha+beta))/(sin(alpha-beta)) = (a+b)/(a-b) , then prove that a tan beta = b tan alpha .

If tan ( alpha + beta) = sqrt(3), tan ( alpha - beta ) =1 then tan 6 beta =

(sin(alpha+beta))/(sin(alpha-beta))=(a+b)/(a-b) then (tan alpha)/(tan beta)=

If 0 lt alpha lt beta lt ( pi )/( 2) , and if ( tan beta)/( tan alpha) gt k , then k is

If tan alpha - tan beta =m and cot alpha - cot beta =n , then prove that cot ( alpha - beta )= (1)/(m)- (1)/(n)

SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-LAQ
  1. If 0 lt A lt B lt (pi)/(4) and sin (A+B)=(24)/(25) and cos (A-B)= (4)/...

    Text Solution

    |

  2. If A+B, A are acute angles such that sin (A+B)=(24)/(25) and tan A=(3)...

    Text Solution

    |

  3. If tan (alpha- beta )= (7)/(24) and tan alpha =(4)/(3), where alpha an...

    Text Solution

    |

  4. In a Delta ABC, A is obtuse. If sin A=(3)/(5) and sin B=(5)/(13), the...

    Text Solution

    |

  5. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

    Text Solution

    |

  6. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

    Text Solution

    |

  7. For any alpha in R, prove that cos ^(2) (alpha -(pi)/(4))+ cos ^(2) (a...

    Text Solution

    |

  8. For alpha , beta in R, prove that (cos alpha + cos beta )^(2)+ (sin al...

    Text Solution

    |

  9. If none of A,B, A+B is an integral multiple of pi, then prove that (1-...

    Text Solution

    |

  10. Prove that cos. (pi)/(11). cos . (2 pi)/(11). cos . (3 pi)/(11) cos. (...

    Text Solution

    |

  11. If A is not an integral multiple of (pi), prove that cos A cos 2A cos ...

    Text Solution

    |

  12. In a triangle ABC, If cot A+ cotB +cot C=sqrt3, then show that the tri...

    Text Solution

    |

  13. If none of the denominators is zero, prove that .

    Text Solution

    |

  14. If cos x+ cosy =(4)/(5) and cos x- cos y =(2)/(7), then the value of 1...

    Text Solution

    |

  15. Prove that tan A. (tan 60^(@) +A). Tan (60^(@)-A)=tan 3A and hence fi...

    Text Solution

    |

  16. Prove that cos 12^(@) + cos 84^(@) +cos 132^(@) + cos 156^(@) =-1//2

    Text Solution

    |

  17. Prove that cos^(2)76^(@)+cos^(2)16^(@)-cos76^(@)cos16^(@)=(3)/(4)

    Text Solution

    |

  18. If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...

    Text Solution

    |

  19. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

    Text Solution

    |

  20. Sketch the graph of tanx between 0 and pi//4

    Text Solution

    |