Home
Class 14
MATHS
If sin alpha + sin beta = 0 = cos alpha ...

If `sin alpha + sin beta = 0 = cos alpha + cos beta`. Where `0 lt beta lt alpha lt 2 pi`, then which one of the following is correct?

A

`alpha=pi-beta`

B

`alpha=pi+beta`

C

`alpha=2pi-beta`

D

`2alpha=pi+2beta`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|163 Videos

  • STATISTICS

    PUNEET DOGRA|Exercise PRE YEAR QUESTIONS |163 Videos

  • VECTOR

    PUNEET DOGRA|Exercise Prev Year Questions|134 Videos

Similar Questions

Explore conceptually related problems

If : 1+sin alpha * sin beta-cos alpha* cos beta=0" ""then" : tan alpha*cot beta=

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

sin alpha sin beta-cos alpha cos beta=1 then show that tan alpha+tan beta=0

If cos alpha + cos beta = 0 = sin alpha + sin beta, then value of cos 2 alpha + cos 2 beta is

If cos alpha+cos beta=0=sin alpha+sin beta then cos2 alpha+cos2 beta=

A_((alpha))=[{:(cos alpha,-sin alpha),(sin alpha,cos alpha):}],A_((beta))=[{:(cos beta,-sin beta),(sin beta,cos beta):}] Which one of the following is correct ?

If cos alpha+cos beta=0=sin alpha+sin beta, then cos2 alpha+cos2 beta is equal to

If x cos alpha + y sin alpha = x cos beta + y sin beta = a, 0

If cos alpha+cos beta=0=sin alpha+sin beta. Prove that cos2 alpha+cos2 beta=-2cos(alpha+beta)

PUNEET DOGRA-TRIGONOMETRY-PREV YEAR QUESTIONS
  1. If cos alpha + cos beta + cos gamma = 0, where 0 lt alpha le (pi)/(2),...

    Text Solution

    |

  2. Suppose cos A is given. If only one value of cos (A/2) is possible, th...

    Text Solution

    |

  3. If sin alpha + sin beta = 0 = cos alpha + cos beta. Where 0 lt beta lt...

    Text Solution

    |

  4. (sin(x+y))/(sin(x-y))=(a+b)/(a-b), then (tanx)/(tany)=?

    Text Solution

    |

  5. What is sin 105^@ + cos105^@ equal to:

    Text Solution

    |

  6. What is (sin5x-sin3x)/(cos5x+cos3x) equal to?

    Text Solution

    |

  7. If sinx=(1)/(sqrt5).siny=(1)/(sqrt(10)), where 0 lt x lt (pi)/(2),0 lt...

    Text Solution

    |

  8. The value of tan 9^@ - tan 27^@ - tan 63^@ + tan 81^@ is equal to:

    Text Solution

    |

  9. The value of sqrt3 cosec20^@-sec20^@ is equal to:

    Text Solution

    |

  10. Angle a is divided into two parts A and B such that A - B = x and tan ...

    Text Solution

    |

  11. sqrt(1+sinA)=-(sin(A/2)+cos (A/2)) is true if :

    Text Solution

    |

  12. If sin A = 3/5, where 450^@ lt A lt 540^@, then cos A/2 is equal to:

    Text Solution

    |

  13. The expression (sin alpha+ sin beta)/(cos alpha+cos beta) is equal to:

    Text Solution

    |

  14. What is the value of tan18^(@) ?

    Text Solution

    |

  15. If tan (alpha + beta) = 2 and tan (alpha - beta) = 1, then tan (2alpha...

    Text Solution

    |

  16. 1/ (si n1 0^(@)) -(sqrt(3))/ (cos1 0^(@))=

    Text Solution

    |

  17. Maximum value of sin (x + (pi)/(6)) + cos (x + (pi)/(6)) is

    Text Solution

    |

  18. If K=sin(pi/(18))sin((5pi)/(18))sin((7pi)/(18)), then the numerical va...

    Text Solution

    |

  19. If sintheta=3sin(theta+2alpha), then the value of tan(theta+alpha)+2...

    Text Solution

    |

  20. If sectheta-"cosec " theta=(4)/(3) , then what is (sin theta-costheta)...

    Text Solution

    |