Home
Class 11
MATHS
If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , s...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos
  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|196 Videos

Similar Questions

Explore conceptually related problems

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

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

int (dx)/(sin(x-a)sin(x-b)

If y=f(x)=(a x-b)/(b x-a) , show that x=f(y)dot

Prove that (sin(x+y))/(sin(x-y))=(tanx+tany)/(tanx-tany)

(dy)/(dx)tany=sin(x+y)+sin(x-y)

Prove that: sin(x+y)/sin(x-y)=(tanx+tany)/(tanx-tany)

Prove that : (sin (x+y))/(sin (x-y) )= (sin x. cos y + cos x . Sin y)/(sin x. cos y-cos x. sin y)

If cos^(-1)(x/a) + cos^(-1) (y/b) = a show that : (x^2)/(a^2) - (2xy)/(ab) cos alpha + (y^2)/(b^2) = sin^(2) alpha .

If cos^(-1)(x/a)+cos^(-1)(y/b)=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)cosalpha+(y^2)/(b^2)=sin^2alpha

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. If alphaa n dbeta are the solutions of acostheta+bsintheta=c , then ...

    Text Solution

    |

  2. If alpha a n d beta are the solutions of the equation at a ntheta+bs e...

    Text Solution

    |

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

    Text Solution

    |

  4. If t a n(pi//4+theta)+t a n(pi//4-theta)=a , then t a n^2(pi//4+theta...

    Text Solution

    |

  5. If t a n x+tan(x+pi/3)+tan(x+(2pi)/3)=3, then prove that (3tanx-t a n^...

    Text Solution

    |

  6. If theta lies in the first quadrant and costheta=8/(17) , then prove t...

    Text Solution

    |

  7. If tan(A-B)=1,sec(A+B)=2/(sqrt(3)) , then the smallest positive value ...

    Text Solution

    |

  8. If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alph...

    Text Solution

    |

  9. If A+B=pi/4 , prove that: (1+t a n A)(1+t a n B)=2 (cotA-1)(cot...

    Text Solution

    |

  10. Prove that: cotthetacot2theta+cot2thetacot3theta+2=cottheta(cottheta-c...

    Text Solution

    |

  11. If tan(alpha+theta)=ntan(alpha-theta) , show that (n+1)sin2theta=(n-1...

    Text Solution

    |

  12. Prove that: (sin(B-C))/(cosBcosC)+(sin(C-A))/(cosCcosA)+(sin(A-B))/(co...

    Text Solution

    |

  13. If tan( pi cos theta) = cot ( pi sin theta) then sin (theta + pi/4) e...

    Text Solution

    |

  14. Find the values of the following: sin75^0 (ii) cos75^0 (iii) sin15^0...

    Text Solution

    |

  15. If cotalpha=1/2,secbeta=-5/3,where piltalphalt(3pi)/2and pi/2 ltbetalt...

    Text Solution

    |

  16. If sin A=3/5,0<A<pi/2a n dcosB=(-12)/(13),0<B<(3pi)/2, find the follow...

    Text Solution

    |

  17. Prove that: (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(1/2)(ta...

    Text Solution

    |

  18. Prove that: 1/(cos(x-a)cos(x-b))=(tan(x-b)-"tan"(x-a))/(sin(a-b))

    Text Solution

    |

  19. If sin(picostheta)=cos(pi sintheta),t h e n sin2theta=

    Text Solution

    |

  20. If at a nalpha+bt a nbeta=(a+b)tan((alpha+beta)/2) , where alpha!=beta...

    Text Solution

    |