Home
Class 11
MATHS
If alphaa n dbeta are distict roots of a...

If `alphaa n dbeta` are distict roots of `acostheta+bs intheta=c ,` prove that `sin(alpha+beta)=(2a b)/(a^2+b^2)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise NCERT EXAMPLES|6 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(a) Short Answer type Question|13 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are distict roots of a cos theta+b sin theta=c, prove that sin(alpha+beta)=(2ab)/(a^(2)+b^(2))

If alpha " and " beta are two distinct roots of a cos theta + b sin theta = c , prove that sin (alpha + beta) = (2ab)/(a^(2)+b^(2))

If alpha and beta be two different roots of equation,a cos theta+b sin theta=c prove that sin(alpha+beta)=(2ab)/(a^(2)+b^(2))

If alpha " and " beta are two distinct roots of a cos theta + b sin theta = c , prove that cos alpha + cos beta = (2ac)/(a^(2)+ b^(2))

If alpha and beta are the solutions of a cos theta+b sin theta=c, show that sin alpha+sin beta=(2bc)/(a^(2)+b^(2)) and sin alpha sin beta=(c^(2)-a^(2))/(a^(2)+b^(2))

If alpha and beta be the two different roots of equation a cos theta+b sin theta=c ,prove that : tan(alpha+beta)=(2ab)/(a^(2)-b^(2))

If alpha and beta are 2 distinct roots of equation a cos theta + b sin theta = C then cos( alpha + beta ) =

If alpha,beta are the roots of the equation a cos theta+b sin theta=c, then prove that cos(alpha+beta)=(a^(2)-b^(2))/(a^(2)+b^(2))

If alpha and beta are the two different roots of equations alpha cos theta+b sin theta=c , prove that (a) tan (alpha-beta)=(2ab)/(a^(2)-b^(2)) (b) cos(alpha+beta)=(a^(2)-b^(2))/(a^(2)+b^(2))

If sinalpha+sinbeta=a and coslapha+cosbeta=b then prove that sin(alpha+beta)=(2ab)/(a^2+b^2)

MODERN PUBLICATION-TRIGONOMETRY-FREQUENTLY ASKED QUESTIONS
  1. Prove that n( " cos " 4x + " cos " 3x + " cos " 2x)/(" sin " 4x +...

    Text Solution

    |

  2. (( sin 7x + sin 5x)+(sin 9x + sin 3x))/((cos 7x + cos 5x)+(cos 9x+ cos...

    Text Solution

    |

  3. Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha...

    Text Solution

    |

  4. If s intheta=n"sin"(theta+2alpha) , prove that tan(theta+alpha)=(1+n)/...

    Text Solution

    |

  5. If alpha+beta+90^0 , find the maximum and minimum values of s inalphas...

    Text Solution

    |

  6. Prove that (tan 5theta + tan 3theta)/(tan 5theta - tan 3theta) = 4 c...

    Text Solution

    |

  7. Find "sin" 2theta when "sin" theta+cos theta=1.

    Text Solution

    |

  8. Prove that: "tan"A+cotA=2"cosec" 2A and deduce that "tan" 75^(@)+co...

    Text Solution

    |

  9. Prove that (i) (sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A) (ii) (c...

    Text Solution

    |

  10. If tan (alpha-beta)=(sin 2beta)(3-cos 2beta), then

    Text Solution

    |

  11. Prove that: cos A cos 2A cos 2^(2)A cos 2^(3)A….....cos 2^(n-1)A=("sin...

    Text Solution

    |

  12. If "sin"A=(1)/(2)(x+(1)/(x)),prove that: "sin" 3A+(1)/(2)(x^(3)+(1)...

    Text Solution

    |

  13. Prove that: cos^(2)pi/8 + cos^(2)(3pi)/(8) + cos^(2)(5pi)/(8)+ cos^(...

    Text Solution

    |

  14. Prove that: cos 6x=32 cos^(6)x-48 cos^(4)x+18 cos^(4)x+18 cos^(2)x...

    Text Solution

    |

  15. sqrt2+ sqrt3+sqrt4+sqrt6 is equal to

    Text Solution

    |

  16. Find the value of "tan" 22^(@) 30'.

    Text Solution

    |

  17. Prove that:tan4x=(4tanx(1-tan^2x))/(1-6tan^2x+tan^4x)

    Text Solution

    |

  18. If "sin" theta+"sin" phi=a and cos theta+cos phi=b find: (i) "sin"(...

    Text Solution

    |

  19. If "tan" x=(3)/(4),piltxlt(3 pi)/(2), find the values of "sin"(x)/(2),...

    Text Solution

    |

  20. If alphaa n dbeta are distict roots of acostheta+bs intheta=c , prove ...

    Text Solution

    |