Home
Class 12
MATHS
If (tan(alpha +beta - gamma))/(tan(alpha...

If `(tan(alpha +beta - gamma))/(tan(alpha -beta + gamma)) = (tan gamma/tan beta)` show that `sin(beta -gamma) =0` or `sin(beta -gamma) =0`, or `sin2 alpha +sin2 beta + sin2 gamma =0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

If (tan(alpha+beta-gamma))/(tan(alpha-beta+gamma))=(tan gamma)/(tan beta),(beta!=gamma) then sin2 alpha+sin2 beta+sin2 gamma=(a)0(b)1(c)2(d)(1)/(2)

cos (alpha + beta) cos gamma-cos (beta + gamma) cos alpha = sin beta sin (gamma-alpha)

cos alpha sin (beta-gamma) + cos beta sin (gamma-alpha) + cos gamma sin (alpha-beta) =

If alpha + beta- gamma= pi , prove that sin^(2)alpha + sin^(2)beta - sin^(2)gamma = 2sin alpha sin beta cos gamma .

If 2 sin alphacos beta sin gamma=sinbeta sin(alpha+gamma),then tan alpha,tan beta and gamma are in

If tan beta=(tan alpha + tan gamma)/(1+ tan alpha . tan gamma) Prove that sin 2 beta =(sin 2 alpha + sin 2 gamma)/(1+ sin 2 alpha . Sin 2 gamma)

sin (beta+ gamma- alpha) + sin (gamma+ alpha - beta) + sin (alpha + beta- gamma)- sin (alpha + beta + gamma)=

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If (tan(alpha +beta - gamma))/(tan(alpha -beta + gamma)) = (tan gamma/...

    Text Solution

    |

  2. Eliminate theta between cosec theta -sin theta = m and sec theta - cos...

    Text Solution

    |

  3. If cos alpha + cos 2alpha = p,sin alpha + sin 2alpha = q then eliminat...

    Text Solution

    |

  4. If cos alpha = cos beta*cos phi= cos gamma *cos theta and sin alpha = ...

    Text Solution

    |

  5. Eliminate theta between a = cos(theta - alpha), b = sin(theta - beta) ...

    Text Solution

    |

  6. Eliminating alpha from xcos alpha = y cos(alpha +2pi/3) = zcos (alpha ...

    Text Solution

    |

  7. If cos rx + cos ry = ar, r = 1, 2, 3 then prove that 2a1^(3) + a3 = 3...

    Text Solution

    |

  8. Eliminate theta, phi from sin theta + sin phi = a, cos theta+ cos phi ...

    Text Solution

    |

  9. Eliminatetheta from lambda cos 2theta = cos(theta + alpha) and lambda...

    Text Solution

    |

  10. If f(theta) = 1 + sin [pi/4 + theta] + cos (pi/4 + theta). find the ra...

    Text Solution

    |

  11. Prove that the value of 5 cos theta + 3cos (theta + pi/3) +3 lies bet...

    Text Solution

    |

  12. If f(theta) = 11cos^(2)theta + 15sin theta cos theta - 9sin^(2)theta, ...

    Text Solution

    |

  13. Find the maximum and minimum values of sin^(6)x + cos^(6)x.

    Text Solution

    |

  14. In triangle ABC, B = pi/3 and sin A . sin C = x then find the set of ...

    Text Solution

    |

  15. Prove that the relation sin^(2)theta = (x+y)^(2)/(4xy) is not possib...

    Text Solution

    |

  16. Prove that sin theta = x + p/x is possible for real x if p le 1/4

    Text Solution

    |

  17. If f(x) = 3(sin x - cos x)^(4) + 6(sin x + cos x)^(2) +4(sin^(6)x + co...

    Text Solution

    |

  18. If alpha, beta are acute angles and cos 2alpha = (3cos2beta -1)/(3-cos...

    Text Solution

    |

  19. If tan theta* tan phi = sqrt((x-y)/(x+y)) prove that (x - y cos 2the...

    Text Solution

    |

  20. If x in (pi, 2pi), prove that ((sqrt(1+cosx))+(sqrt(1-cos x)))/((sqrt(...

    Text Solution

    |

  21. Show that cot theta* cot 2theta+ cot 2theta *cot 3theta + 2 = cot thet...

    Text Solution

    |