Home
Class 12
MATHS
If alpha,beta,gamma, in (0,pi/2) , then ...

If `alpha,beta,gamma, in (0,pi/2)` , then prove that `(s i(alpha+beta+gamma))/(sinalpha+sinbeta+singamma)<1`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma,in(0,(pi)/(2)), then prove that (si(alpha+beta+gamma))/(sin alpha+sin beta+sin gamma)<1

If alpha + beta+gamma=pi , prove that sin^2 alpha + sin^ beta - sin^2 gamma = 2sinalpha sinbeta cosgamma

If 0ltalphalt pi/2, 0ltbetaltpi/2 and 0ltgammalt pi/2 prove that sin(alpha+beta+gamma) lt sinalpha+sinbeta +sin gamma

If alpha+beta+gamma=2pi then

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

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

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

cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-(3)/(2), prove that cos alpha+cos beta+cos gamma=sin alpha+sin beta+sin gamma=0

Determine the values of alpha ,beta , gamma when [{:( 0, 2beta, gamma),( alpha ,beta, -gamma),( alpha ,-beta, gamma):}] is orthogonal.

If sinalpha+sinbeta+singamma=cosalpha+cosbeta+cosgamma=0 then prove that cos3alpha+cos3beta+cos3gamma=3cos(alpha+beta+gamma)

RESONANCE DPP-JEE MAINS-All Questions
  1. The equation of a line which is parallel to the line common to the pai...

    Text Solution

    |

  2. f(x)=x^(2)+3x^(2)-33x-33"for "x gt 0 and g be its inverse such that kg...

    Text Solution

    |

  3. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

    Text Solution

    |

  4. v34

    Text Solution

    |

  5. The area bounded by the coordinate axes and the curve sqrt(x) + sqrt(y...

    Text Solution

    |

  6. ABC is an isosceles triangle inscribed in a circle of radius r , if AB...

    Text Solution

    |

  7. If two tangents drawn from the point (a,b) to the parabola y^2=4x be...

    Text Solution

    |

  8. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |

  9. The maximum number of equivalence relations on the set A = {1, 2, 3} a...

    Text Solution

    |

  10. If e and e' be the eccentricities of two conics S=0 and S'=0 and if e^...

    Text Solution

    |

  11. Consider : Statement I : (phat~""q)hat(~""phatq) is a fallacy. Statem...

    Text Solution

    |

  12. If az^(2)+bz+1=0 where a,b, in C and |a|=(1)/(2) have a root alpha suc...

    Text Solution

    |

  13. If (1+x^2)(dy)/(dx)=x(1-y),y(0)=4/3, then the value of y(8)+8/9 is

    Text Solution

    |

  14. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |

  15. Find the number of positive integers n such that 105 is a divisor of n...

    Text Solution

    |

  16. Number of five digit integers, with sum of the digits equal to 43 are ...

    Text Solution

    |

  17. Show that the area of triangle inscribed in an ellipse bears a constan...

    Text Solution

    |

  18. The equation of a tangent parallel to y=x drawn to (x^2)/3 - (y^2)/2=1...

    Text Solution

    |

  19. Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 wh...

    Text Solution

    |

  20. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whi...

    Text Solution

    |