Home
Class 11
MATHS
If sin(120° – α) = sin(120° – β) and 0 <...

If sin(120° – α) = sin(120° – β) and 0 < α, β < π then find the relation between α and β.

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 sin(120^0-alpha)=sin(120^0-beta),0 lt alpha,beta lt pi, then find the relation between (alpha and betadot)

A particle is subjected to two simple harmonic motions given by x_(1) = 2.0sin (100 pi t) and x_(2) = 2.0sin (120pi t + pi //3) where, x is in cm and t in second. Find the displacement of the particle at (a) t = 0.0125 , (b) t = 0.025 .

If cos(α+β)=0 , then sin(α−β) , can be reduced to

If cos 120^(@)=(-1)/(2) find the values of sin 120^(@) and tan 120^(@) .

cos A + cos (120 ^(@) - A ) + cos (120 ^(@) + A ) =0

Given that sin30^(@)=1//2 and cos 30^(@)=sqrt3//2 . Determine the values of sin 60^(@), sin 120^(@), sin 240^(@), sin 300^(@) , and sin (-30^(@)) .

Prove that sinα+sin(α+ 3 2π ​ )+sin(α+ 3 4π ​ )=0

The maximum value of sin^2(120^0+theta)+sin^2(120^0-theta) is a. 1//2 b. 3/2 c. 1//4 d. 3//4

Prove that the general solution of sin θ= sin α, is given by : theta=npi+(-1)^nalpha,n in Zdot

A generator produces a time varying voltage given by V=240 sin 120 t, where t is in second. The rms voltage and frequency are

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that cos(2pi)/(15)cos(4pi)/(15)cos(8pi)/(15)cos(14pi)/(15)=1/(16...

    Text Solution

    |

  2. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  3. If sin(120° – α) = sin(120° – β) and 0 < α, β < π then find the relati...

    Text Solution

    |

  4. Solve cosxcos2xcos3x=1/4

    Text Solution

    |

  5. Prove that: sin6^(@)sin42^(@)sin66^(@)sin78^(@)=1/16

    Text Solution

    |

  6. Find the sign of the values of tan113^0-cos107^0=a and tan107^0-cos105...

    Text Solution

    |

  7. Solve the equation (sqrt(3))/2sinx-cosx=cos^2x

    Text Solution

    |

  8. Each equation contains statements given in two columns which have to b...

    Text Solution

    |

  9. If xsina+ysin2a+zsin3a=sin4a xsinb+ysin2b+zsin3b=sin4b, xsinc+ysin2c...

    Text Solution

    |

  10. Prove that (sin-cosx+1)/(sinx+cosx-1)=secx+tanx

    Text Solution

    |

  11. The lengths of the medians through acute angles of a right-angled tr...

    Text Solution

    |

  12. If 2tan^2x-5secx=1 is satisfied by exactly seven distinct values of x ...

    Text Solution

    |

  13. In triangle A B C ,tanA+tanB+tanC=6a n dtanAtanB=2, then the values o...

    Text Solution

    |

  14. If 2cosx+sinx=1, then find the value of 7cosx+6sinxdot

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |