Home
Class 12
MATHS
If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , t...

If `(sin(x+y))/(sin(x-y))=(a+b)/(a-b)` , then show that `(tanx)/(tany)=(a)/(b)`.

A

`b//a`

B

`a//b`

C

ab

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If (sin(x+y))/(sin(x-y))=(a+b)/(a-b), show that (tan x)/(tan y)=(a)/(b)

If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , then what is (tanx)/(tany) equal to?

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

If (sin (x+y))/( sin(x-y))=(a+b)/(a-b) , then (tan x)/( tan y) is equal to

(sin(x-y))/(sin(x+y))=(3)/(5) then tanx.coty is

If (sin(x-y))/(sin(x+y))=(3)/(5) , then tanx* coty is _____

(tanx)^(y)=(tany)^(x)

If y=(sin(x+a))/(sin(x+b)),a!=b , then y is

If tan x=(a)/(b) then show that (a sin x-b cos x)/(a sin x+b cos x)=(a^(2)-b^(2))/(a^(2)+b^(2))

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

    Text Solution

    |

  2. The value of sin(pi+theta)sin(pi-theta)cosec^(2)theta is equal to

    Text Solution

    |

  3. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , then show that (tanx)/(tany)=(...

    Text Solution

    |

  4. if sin x + sin^2 x = 1, then the value of cos^2 x + cos^4x is

    Text Solution

    |

  5. If tan(x/2)=cosec x - sin x then the value of tan^2(x/2) is

    Text Solution

    |

  6. If cosA=3/4, then 32 sin, A/2 sin, (5A)/2= (A) sqrt(11) (B) -sqrt(11) ...

    Text Solution

    |

  7. (1+cos.(pi)/(8))(1+cos.(3pi)/(8))(1+cos.(5pi)/(8))(1+cos.(7pi)/(8)) is...

    Text Solution

    |

  8. If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...

    Text Solution

    |

  9. If sin2theta=cos3theta where theta in (0,pi/2) , then sintheta is equa...

    Text Solution

    |

  10. if y=cos^2theta+sec^2theta then

    Text Solution

    |

  11. The value of sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)...

    Text Solution

    |

  12. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

    Text Solution

    |

  13. if sin(alpha+beta)=1 and sin(alpha-beta)=1/2 " "0lealpha,beta,lepi/2,t...

    Text Solution

    |

  14. If cos(theta-alpha) = a and cos(theta-beta) = b then the value of sin^...

    Text Solution

    |

  15. If K=sin(pi/(18))sin((5pi)/(18))sin((7pi)/(18)), then the numerical va...

    Text Solution

    |

  16. Find the value of log tan1^0logtan2^0logtan89^0

    Text Solution

    |

  17. If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0<x<pi, then x is eq...

    Text Solution

    |

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

    Text Solution

    |

  19. If tan x =(2b)/ (a- c), y = acos^2 x + 2bsin x cos x + csin^2 x, z=as...

    Text Solution

    |

  20. If alpha+beta+gamma=2pi then

    Text Solution

    |