Home
Class 11
MATHS
If alpha and beta are the solution of t...

If `alpha` and `beta` are the solution of the equation, `a tantheta+bsectheta=c` then show that `tan(alpha + beta) =(2ac)/(a^2-c^2)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Check your unders"tan"ding|10 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise COMPETITION FILE|17 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exerise|11 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the solutions of the equation a tan theta+b sec theta=c, then show that tan(alpha+beta)=(2ac)/(a^(2)-c^(2))

If alpha and beta are the solution of the equation,a tan theta+b sec theta=c then show that tan(alpha+beta)=(2ac)/(a^(2)-c^(2))

If alpha and beta are the solutions of the equation a tan theta+b sec theta=c then (alpha+beta)=

If alpha and beta are the solution of the equation a sec theta+b tan theta=c then show that tan(alpha+beta)=(2bc)/(b^(2)-c^(2))

If alpha, beta be the solutions of theta for the equation a tan theta + b sec theta = c then prove that tan(alpha+ beta) = 2ac/(a^(2)-c^(2)) .

If alpha and beta are the solution of the equation a cos2 theta+b sin2 theta=c then cos^(2)alpha+cos^(2)beta is equal to

If alpha and beta are two solutions of the equation a tan x+b sec x=c ,then find the values of sin(alpha+beta) and cos(alpha+beta)

If n tan alpha=(n+1)tan beta then show that tan(alpha-beta)=(sin2 beta)/(2n+1-cos2 beta)

If alpha. beta are roots of the equation ax^(2)+bx+c=0 and alpha-beta=alpha*beta then

MODERN PUBLICATION-TRIGONOMETRY-Revision Exerise
  1. Prove that: cos^2A+cos^2(A+pi/3)+cos^2(A-pi/3)=3/2

    Text Solution

    |

  2. If (s in^4theta)/a+(cos^4theta)/b=1/(a+b) , prove that (s in^8theta)/...

    Text Solution

    |

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

    Text Solution

    |

  4. If alphaa n dbeta are the solutions of acostheta+bs intheta=c , then s...

    Text Solution

    |

  5. If alpha and beta are the solution of the equation, a tantheta+bsecth...

    Text Solution

    |

  6. If tanbeta=(Q"sin"alpha)/(P+Qcosalpha) Prove that "tan"(alpha-beta)=...

    Text Solution

    |

  7. Prove that: cotthetacot2theta+cottheta2cot3theta+2=cottheta(cottheta-c...

    Text Solution

    |

  8. Prove that:(cos 2A cos 3A -cos 2A cos 7A + cos A cos 10A)/("sin" 4A si...

    Text Solution

    |

  9. If theta(1),theta(2),theta(3),".......",theta(n) are in AP whose commo...

    Text Solution

    |

  10. If A+B+C = pi prove that cos 4A + cos 4B + cos 4C = -1 + 4 cos 2A co...

    Text Solution

    |

  11. If A+B+C=pi, prove that : sin, (B+C)/(2) + sin, (C+A)/(2) + sin, (A+B)...

    Text Solution

    |

  12. If A + B + C = 180^(@) prove that: (i) "sin" (B+C-A) + "sin"(C+ A-B)...

    Text Solution

    |

  13. Prove that the triangle ABC is equilateral if cotA+cotB+cotC=sqrt3

    Text Solution

    |

  14. If A + B + C + D = 2pi, prove that: cos A + cos B + cos C + cos D =...

    Text Solution

    |

  15. If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/...

    Text Solution

    |

  16. If x y+y z+x z=1,then prove that x/(1-x^2)+y/(1-y^2)+z/(1-z^2)=(4x y...

    Text Solution

    |

  17. Find the solutions x in [0,2pi] of:"sin" 2x – 12 ("sin" x - cos x) + 1...

    Text Solution

    |

  18. Solve : (i) cos 3theta + 8 cos^(3) theta = 0 (ii) "tan" (pi cot x) ...

    Text Solution

    |

  19. Prove that the values of the function("sin"xcos3x)/(cosx"sin"3x)do not...

    Text Solution

    |

  20. If p(1),p(2),p(3) are the altitues of a triangle from the vertieces A,...

    Text Solution

    |