Home
Class 11
MATHS
If alpha,beta,gamma are acute angles and...

If `alpha,beta,gamma` are acute angles and `costheta=sinbeta//sinalpha,cosvarphi=singamma//sinalpha and cos(theta-varphi) = sinbetasingamma` , then the value of `tan^2alpha-tan^2beta-tan^2gamma` is equal to (a)`-1` (b) `0` (c) `1` (d) 2

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma are ccute angles and costheta=sinbeta//sinalpha,cosvarphi=singammasinalphaa n dcos(theta-varphi)=sinbetasingamma , then the value of tan^2alpha-tan^2beta-tan^2gamma is equal to -1 (b) 0 (c) 1 (d) 2

alpha and beta are acute angles and cos2alpha = (3cos2beta-1)/(3-cos2beta) then tan alpha cot beta =

If sin alpha.sinbeta - cos alpha.cos beta+1=0 , then find the value of cot alpha.tan beta .

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

If each of alpha, betaa n dgamma is a positive acute angle such that sin(alpha+beta-gamma) =1/2 , cos(beta+gamma-alpha)=1/2 and tan(gamma+alpha-beta)=1, find the values of alpha,betaa n dgammadot

If atanalpha+sqrt(a^2-1)tanbeta+sqrt(a^2+1)tangamma=2a where a is a constant and alpha,beta and gamma are variable angles. Then the least value of tan^2alpha+tan^2beta+tan^2gamma is equal to

If sinalpha-sinbeta=a and cosalpha+cosbeta=b then write the value of "cos"(alpha+beta) .

If alpha+beta-gamma=pi and sin^2alpha+sin^2beta-sin^2gamma=lambda sinalpha sinbeta cosgamma, then write the value of lambda

If alpha+beta+gamma= 2theta., then costheta+ cos(theta-alpha)+ cos(theta-beta)+cos(theta-gamma)

If alpha +beta + gamma = 2theta then costheta+ cos(theta-alpha)+cos(theta-beta)+ cos(theta-gamma)

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 2cosx+sinx=1, then find the value of 7cosx+6sinxdot

    Text Solution

    |

  2. If sinx+sinygeqcosacosxAA in R , then siny+cosa is equal to

    Text Solution

    |

  3. If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,co...

    Text Solution

    |

  4. In triangle ABC, if cotA⋅cotC= 1 / 2 and cotB⋅cotC= 1 / 18 , then ...

    Text Solution

    |

  5. Find the values of xa n dy for which cosec theta=(x^2-y^2)/(x^2+y^2) i...

    Text Solution

    |

  6. The set of all x in the interval [0,pi] for which 2sin^2x-3sinx+1geq0 ...

    Text Solution

    |

  7. If in a triangle (1-(r1)/(r2))(1-(r1)/(r3))=2 then the triangle is rig...

    Text Solution

    |

  8. sum(n=1)^ootan(theta/(2^n))/(2^(n-1)cos(theta/(2^(n-1)))) is

    Text Solution

    |

  9. A parallelogram containing a 60^0 angle has perimeter p and its longer...

    Text Solution

    |

  10. If r/(r1)=(r2)/(r3), then (a) A=90^0 (b) B=90^0 (c) C=90^0 (d) none ...

    Text Solution

    |

  11. If sin(sinx+cosx)=cos(cosx-sinx), and largest possible value of sinx ...

    Text Solution

    |

  12. If 0lt=xlt=pi/3 then range of f(x)=sec(pi/6-x)+sec(pi/6+x) is

    Text Solution

    |

  13. For each natural number nlt=2, prove that sinx1cosx2+sinx2c0sx+3++sinx...

    Text Solution

    |

  14. The values of x1 between 0 and 2pi , satisfying the equation cos3x+c...

    Text Solution

    |

  15. If y=(sin^4x-cos^4x+sin^2xcos^2x)/(sin^4x+cos^4x+sin^2xcos^2x),x in (0...

    Text Solution

    |

  16. In an acute angled triangle A B C ,r+r1=r2+r3a n d/B >pi/3, then (a) b...

    Text Solution

    |

  17. If un=sin^("n")theta+cos^ntheta, then prove that (u5-u7)/(u3-u5)=(u3)/...

    Text Solution

    |

  18. If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x...

    Text Solution

    |

  19. The general solution of the equation sin^(100)x-cos^(100)x=1 is (a)2np...

    Text Solution

    |

  20. If in triangle A B C ,sumsin(A/2)=6/5a n dsumI I1=9 (where I1,I2 a n d...

    Text Solution

    |