Home
Class 11
MATHS
Prove that: sin(x+y)/sin(x-y)=(tanx+tany...

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

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

For 0

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

Prove that : (sin x + sin y)/(sin x - sin y) = tan ((x+y)/2).cot ((x-y)/2)

y=x^(tanx)

Prove that sin (x + y ) sin (x -y) + sin ( y+ z) sin (y - z) + sin (z+x) sin (z-x) = 0.

If y=(tanx)/(tan3x), then

Prove that (sin-cosx+1)/(sinx+cosx-1)=secx+tanx

Prove that (sin5x-2sin3x+sinx)/(cos5x-cosx)=tanx

Prove that: (1+cos4x)/(cot x-tanx)=1/2sin4x

Prove that : (sin x - sin y)/(cos x + cos y) = tan ((x-y)/2)

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. Prove that: cos(pi/4+x)+cos(pi/4-x\ )=sqrt(2)cosx

    Text Solution

    |

  2. Prove that: cos((3pi)/4+x)-cos((3pi)/4-x\ )=sqrt(2)sinx

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that (tan(pi/4+x))/(tan(pi/4-x))=((1+t a n x)/(1-t a n x))^2

    Text Solution

    |

  5. if tanalpha=1/(sqrt(x(x^2+x+1))), tanbeta=(sqrtx)/(sqrt(x^2+x+1) and ...

    Text Solution

    |

  6. Prove that :(tan(A+B))/("cot"(A-B))=(sin^2A-sin^2B)/(cos^2A-sin^2B)

    Text Solution

    |

  7. Prove that : sin^2 6x-sin^2 4x=sin 2x\ sin\ 10 x

    Text Solution

    |

  8. Prove that: cos^2 2x-cos^2 6x= sin4x sin8x

    Text Solution

    |

  9. Prove that: (cos^2 33^@-cos^2 57^@)/(sin^2(21/2)^@-sin^2(69/2)^@)=-sqr...

    Text Solution

    |

  10. Prove that: cos2alpha\ cos2beta+sin^2(alpha-beta)-sin^2(alpha+beta)=co...

    Text Solution

    |

  11. Prove that: t a n 70^0=t a n 20^0+2t a n 50^0dot

    Text Solution

    |

  12. If sin alpha+sin beta=a\ a n d\ cosalpha+cosbeta=b , show that : cos(a...

    Text Solution

    |

  13. If sin alpha+sin beta=a\ a n d\ cosalpha+cosbeta=b , show that : sin(a...

    Text Solution

    |

  14. If sinA=4/5 and cosB=5/13, find the value of the following : "sin"(A+B...

    Text Solution

    |

  15. If sinA=4/5 and cosB=5/(13), where 0 < A,B < pi/2 ,find the value of...

    Text Solution

    |

  16. If sinA=4/5 and cosB=5/(13),where 0ltAltpi/2 ;0ltBltpi/2 , find the ...

    Text Solution

    |

  17. If sinA=4/5 and cosB=5/(13),where 0ltAltpi/2 ;0ltBltpi/2 , find the ...

    Text Solution

    |

  18. If sinA=12/13 and sinB=4/5 where pi/2 < A < pi and 0 < B < pi/2 then f...

    Text Solution

    |

  19. Prove that sinx/cos(3x)+sin(3x)/cos(9x)+sin(9x)/cos(27x)=1/2 (tan27x-t...

    Text Solution

    |

  20. If sin A=3/5, cos B=-(12)/(13),\ w h e r e A and B both lie in second ...

    Text Solution

    |