Home
Class 12
MATHS
If (sin alpha)/(sin beta)=(cos gamma)/(...

If `(sin alpha)/(sin beta)=(cos gamma)/(cos delta),` then `(sin ((alpha-beta)/2) . cos ((alpha+beta)/2) . cos delta)/(sin ((delta-gamma)/2) . sin ((delta+gamma)/2) . sin beta)`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise JEE Previous Year|26 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos

Similar Questions

Explore conceptually related problems

det [[1,1,1sin alpha, no beta, no deltacos alpha, cos beta, cos delta]] = - 4sin ((alpha-beta) / (2)) sin ((beta-delta) / (2)) sin ((delta-alpha) / (2))

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

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

prove that | (sin alpha, sin beta, sin gamma), (cos alpha, cos beta, cos gamma), (sin 2alpha, sin 2beta, sin 2gamma) | = 4sin (1/2) (beta-gamma) * sin (1/2) (gamma-alpha) * sin (1/2) (alpha-beta) xx {sin (beta + gamma) + sin (gamma + alpha) + sin (alpha + beta)}.

If cos alpha + cos beta + cos gamma = 3 then sin alpha + sin beta + sin gamma =

lfsin alpha + sin beta + sin gamma = 0 = cos alpha + cos beta + cos gamma then sum cos (alpha-beta) =

If cos (alpha + beta) sin (gamma + delta) = cos (alpha - beta) sin (gamma - delta) then:

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

Prove that: sin alpha+sin beta+sin gamma-sin(alpha+beta+gamma)=4sin((alpha+beta)/(2))sin((beta+gamma)/(2))sin((gamma+alpha)/(2))

CENGAGE-TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS-Question Bank
  1. Number of ordered pairs (x, y) satisfying the equation 4 y^2+2 cos ...

    Text Solution

    |

  2. If alpha, beta in(0, pi/2) satisfy the following simultaneous equ...

    Text Solution

    |

  3. Number of solutions of the equation tan 2 theta=tan 6 theta in (0,3 pi...

    Text Solution

    |

  4. The least value of ' a ' for which the equation 2 sqrta sin ^2 x+sqrta...

    Text Solution

    |

  5. The number of solution (s) of the equation sqrt2+cos 2 x=(sin x+cos...

    Text Solution

    |

  6. If (cos 3 x)/(cos x)=1/3 for some angle x, 0 le x le pi/2, then ...

    Text Solution

    |

  7. If (cos ^4 alpha)/(cos ^2 beta)+(sin ^4 alpha)/(sin ^2 beta)=1, the...

    Text Solution

    |

  8. The numbers of solution (s) of the equation (1-1/2 sin x) cos ^2 2 x=2...

    Text Solution

    |

  9. If 2 sin x=1-2 cos x, then value of |tan x+(1)/(tan x)| is

    Text Solution

    |

  10. The number of pairs of integer (x, y) that satisfy the following two '...

    Text Solution

    |

  11. If (cos theta)^6+(sin theta)^6 = a0+a1 cos 4 theta and a0 a1=m/n ...

    Text Solution

    |

  12. If (sin alpha)/(sin beta)=(cos gamma)/(cos delta), then (sin ((alp...

    Text Solution

    |

  13. If 0 lt lt theta lt pi/4, 2 y cos theta=x sin theta and 2 x sec t...

    Text Solution

    |

  14. Maximum value of the expression 25 sin ^4 x-20 sin ^2 x-2 is equal to

    Text Solution

    |

  15. For x in[0,3 pi], the number of integral values of x satisfying ...

    Text Solution

    |

  16. If (overset(8)underset(r=1)sum sin ((2 r-1) pi/36))/(underset(k=0)ove...

    Text Solution

    |

  17. The number of solution (s) of cos sqrt3 x+cos sqrt5 x=2 is

    Text Solution

    |

  18. Number of ordered pairs (x, y) which satisfies the relation x^4+1/8 ...

    Text Solution

    |

  19. If 28 sin ^4 alpha+21 cos ^4 alpha=12 then value of 24(tan ^2 alph...

    Text Solution

    |

  20. The value of the expression (cosec 50^(circ)+sqrt3 sec 50^(circ)) is...

    Text Solution

    |