Home
Class 12
MATHS
If sin A=K sin B, prove the tan frac{...

If `sin A=K sin B, prove the tan frac{1}{2}(A-B)=frac{K-1}{K+1 }tan frac{1}{2}(A+B)`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|523 Videos

  • VECTORS

    MBD PUBLICATION|Exercise QUESTION BANK|138 Videos

Similar Questions

Explore conceptually related problems

If A+B+C=pi , then prove the following. sinfrac{A}{2}+sin frac{B}{2}+sin frac{C}{2} =4sinfrac{pi-A}{4}sinfrac{pi-B}{4}sinfrac{pi-C}{4}+1

If a cosalpha+bsin alpha=c=a cos beta+b sin beta then prove that frac{a}{cosfrac{1}{2}(alpha+beta) = frac{b}{sinfrac{1}{2}(alpha+beta) = frac {c}{cosfrac{1}{2}(alpha-beta)

If A+B+C=pi , then prove the following. sin^2frac{A}{2}+sin^2frac{B}{2}+sin^2frac{C}{2} =1-2sinfrac{A}{2} cdot sin frac{B}{2} cdot sin frac{C}{2}

If A+B+C=pi , then prove the following. cos^2frac{A}{2}+cos^2frac{B}{2}-cos^2frac{C}{2} =2cosfrac{A}{2} cdot cos frac{B}{2} cdot sin frac{C}{2}

Solve the following: (cos x)^( sin^2x-frac{3}{2}sinx+frac{1}{2})=1

If A+B+C=pi , then prove the following. cosA+cosB+cosC=1+4sinfrac{1}{2}A cdot sin frac{1}[2}B cdot sinfrac{1}{2}C

Write the value of int_(frac{π}{4})^(frac{π}{2}) sin^(5)xcosxdx .

In sqrt(x^2 + y^2) = tan^(-1) frac y x

Solve the following: tan theta + tan(theta+frac{pi}{3})+ tan(theta+frac{2pi}{3})=3

Find the range of the function f(x)=frac[1][2-sin3x]

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Prove the following : tan37(1/2)^@=sqrt6+sqrt3-sqrt2+2

    Text Solution

    |

  2. Prove the following : cos(pi/16)=1/2 sqrt(2+sqrt(2+sqrt2))

    Text Solution

    |

  3. If sin A=K sin B, prove the tan frac{1}{2}(A-B)=frac{K-1}{K+1 }tan ...

    Text Solution

    |

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

    Text Solution

    |

  5. An angle theta is divided into two parts alpha, beta such that tan alp...

    Text Solution

    |

  6. If sin theta +sin phi=a,cos theta+cos phi=b, show that sinfrac{theta+...

    Text Solution

    |

  7. If a cosalpha+bsin alpha=c=a cos beta+b sin beta then prove that fra...

    Text Solution

    |

  8. Prove that (frac{cosA+cosB}{sinA-sinB})^n+(frac{sinA+sinB}{cosA-cosB})...

    Text Solution

    |

  9. If (1-e)tan^2frac{beta}{2}=(1+e)tan^2frac{alpha}{2}. prove that cosbet...

    Text Solution

    |

  10. If costheta=(cosA-cosB)/(1-cosA cdotcosB) prove that one of the value...

    Text Solution

    |

  11. If tan theta=(sinxcdot siny)/(cos x + cos y) then prove that one of ...

    Text Solution

    |

  12. If sec(phi+alpha)+sec(phi-alpha)=2secphi show that cosphi=+-sqrt2cosfr...

    Text Solution

    |

  13. If tanA+tanB=a and cotA+cotB=b then show that cot(A+B)=1/a-1/b

    Text Solution

    |

  14. If cottheta=cos(x+y)andcotphi=cos(x-y) then show that tan(theta-phi)=...

    Text Solution

    |

  15. If tanbeta=(n^2sinalpha cdot cosalpha)/(1-n^2sin^2alpha) then show th...

    Text Solution

    |

  16. If 2tanalpha=3tanbeta, then prove that then show that tan(alpha-bet...

    Text Solution

    |

  17. If alpha,beta are acute angles and cos2alpha=(3cos2beta-1)/(3-cos2be...

    Text Solution

    |

  18. If A+B+C=pi, then prove the following. cos2A+cos2B+cos2C+1+4cosA cdo...

    Text Solution

    |

  19. If A+B+C=pi, then prove the following. sin2A+sin2B-sin2C=4cosA cdot ...

    Text Solution

    |

  20. If A+B+C=pi, then prove the following. cosA+cosB+cosC=1+4sinfrac{1}{...

    Text Solution

    |