Home
Class 12
MATHS
If sin theta +sin phi=a,cos theta+cos ph...

If `sin theta +sin phi=a,cos theta+cos phi=b`, show that `sinfrac{theta+phi}{2}/{b}=cosfrac{theta+phi}{2}/{b}=2cosfrac{theta-phi}{2}/{a^2+b^2}`

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 sintheta+sinphi=a and costheta+cosphi=b then show that tan((theta+phi)/2)=a/b

Solve the following: cos 2theta - cos theta = sin theta - sin 2theta

If e^(theta phi) = c + 4 theta phi , show that phi + theta (d phi)/(d theta) = 0

Solve the following: sin theta + sin 2 theta + sin 3 theta + sin 4 theta=0

If sec(phi+alpha)+sec(phi-alpha)=2secphi show that cosphi=+-sqrt2cosfrac{alpha}{2}

If tantheta=(asinx+bsiny)/(acosx+bcosy) then show that a sin(theta-x)+b sin(theta-y)=0

If: tan (pi cos""theta/2)=cot(pisin"theta/2), then show that theta=sin^1(3/4).

If tantheta=b/a, find the value of acos2theta+bsin2theta

intcosthetasqrt(5-sin^2theta)d theta

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If a cos(x+a)=b cos(x-a) show that (a+b) tan x=(a-b) cot a

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If A+B+C=pi, then prove the following. sinA+sinB-sinC=4sinfrac{1}{2}...

    Text Solution

    |

  19. If A+B+C=pi, then prove the following. cos^2A+cos^2B+2cosA cdot cosB...

    Text Solution

    |

  20. If A+B+C=pi, then prove the following. sin^2frac{A}{2}+sin^2frac{B}{...

    Text Solution

    |