Home
Class 12
MATHS
IF ( sin ( x+y) )/( sin (x-y) ) = (a+...

IF ` ( sin ( x+y) )/( sin (x-y) ) = (a+b)/( a-b) ,` then ` ( tan x)/( tan y)`=

A

`(a^2)/(b^2)`

B

`a/b`

C

`b/a`

D

`(a^2 +b^2)/(a^2 -b^2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|44 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

Similar Questions

Explore conceptually related problems

Prove that (sin (x +y) )/( sin (x-y)) = (tan x + tan y)/( tan x - tan y).

If (sin (A+B))/( sin (A-B )) = (x+y)/(x-y) , then x/y

If a cos (x + y) = b cos (x - y), show that (a + b)tan x = (a - b) cot y.

(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

simplify : tan^(-1) ""((a cos x- b sin x )/(b cos x + a sin x ) ) (- pi )/(2) lt x lt pi/2 , a/b tan x gt -1

If tan (x + y) + tan (x - y) = x then find dy/dx

If 5 sin x cos y = 1, 4 tan x = tan y, then

Let a = cos^(-1) cos 20, b = cos^(-1) cos 30 and c = sin^(-1) sin (a + b) then If 5 sec^(-1) x + 10 sin^(-1) y = 10 (a + b + c) then the value of tan^(-1) x + cos^(-1) (y -1) is

If tan x = (n)/(n + 1) and tan y = (1)/(2n + 1) , find tan (x + y).

NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. the value cos 480^@ . Sin 150^@ + sin 600^@ . Cos 390^@ =

    Text Solution

    |

  2. If the angles of a triangles are in the ratio 3 : 4: 5 then the ...

    Text Solution

    |

  3. IF ( sin ( x+y) )/( sin (x-y) ) = (a+b)/( a-b) , then ( tan x)/( ...

    Text Solution

    |

  4. IF A + B = (pi)/(4) then ( tan A +1) ( tan B+1) equals

    Text Solution

    |

  5. If in a triangle ABC , a=15 , b= 36 , c = 39 then sin"" (C )/(2)=

    Text Solution

    |

  6. (1) /( cos 80^@ ) - ( sqrt(3))/( sin 80 ^@) =

    Text Solution

    |

  7. Let ABC be a triangle with b = 5 , c = 11 if the medium AD is...

    Text Solution

    |

  8. A tower subtends an angle alpha at a point A in the plane of...

    Text Solution

    |

  9. If in the triangle ABC , B = 45^@ , then a^4 + b^4 +c^4 =

    Text Solution

    |

  10. Th period of the function f(x) = | sin x|+| cos x | is

    Text Solution

    |

  11. The period of the function f(x) = a^({ tan ( pi x) } +x -[x] ...

    Text Solution

    |

  12. IF A+B+C =pi , then tan ((A)/(2)) tan ((B)/(2)) + tan (B/2) tan (...

    Text Solution

    |

  13. If sin 4 A - cos 2 A = cos 4 A - sin 2A (0 lt Alt (pi)/( 4)) t...

    Text Solution

    |

  14. In A Delta ABC if ( sqrt(3)-1)a=2b, A=3B then c is

    Text Solution

    |

  15. If x sin ^3 theta +y cos^3 theta = sin theta cos theta and x sin ...

    Text Solution

    |

  16. In a Delta ABC If tan"" (A )/(2 ) = (5 )/(6) , tan ""(C )/...

    Text Solution

    |

  17. If the angles of triangle are in the ratio 4 :1:1 , then the ra...

    Text Solution

    |

  18. in a triangle ABC , (b+c) ( bc ) cos A + (a +c) (ac) cos B +...

    Text Solution

    |

  19. IF in Delta ABC , sin A/2 sin C /2 =sin B/2 and 2s is the peri...

    Text Solution

    |

  20. ABC is a right angled triangle with angle B = 90 ^@ , a=6 cm i...

    Text Solution

    |