Home
Class 11
MATHS
If sin x + sin y =1/2 and cos x + cos y ...

If sin x + sin y =`1/2` and cos x + cos y = 1 then tan (x + y)

A

`(-8)/(3)`

B

`8/3`

C

`4/3`

D

`-3/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise CRITICAL THINKING|34 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

If sin x + sin y = a and cos x + cos y = b then tan ((x + y) / (2)) is

If sin x + sin y = a and cos x + cos y = b, than tan^2((x+y)/(2))+tan^2((x-y)/(2)) is equal to:

If sin x + sin y = a , cos x - cos y = b then the value of tan ((y-x)/2) is _______ in terms of a and b.

If sin x+sin y=a and cos x+cos y=b, then tan((x+y)/2 ' is equal to

If (sin x) (sin y) = 1, then (cos x) (cos y) =?

If sin x + sin y = (7) / (5) and cos x + cos y = (1) / (5) then sin (x + y) equal to

If sin x + sin y = a and cos x + cos y = b , what is sin x.sin y + cos x .cos y equal to ?

TARGET PUBLICATION-FACTORIZATION FORMULAE-COMETITIVE THINKING
  1. (sin(B+A)+cos(B-A))/(sin(B-A)+cos(B+A)) is equal to

    Text Solution

    |

  2. If si 4 A - cos 2A = cso 4A - sin 2A (0 lt A lt (pi)/(4)), then the va...

    Text Solution

    |

  3. If sin x + sin y =1/2 and cos x + cos y = 1 then tan (x + y)

    Text Solution

    |

  4. If cos x=3, cos y, then 2 tan ((y-x)/(2))=

    Text Solution

    |

  5. If cosA=mcosB, then

    Text Solution

    |

  6. The sum S= sin theta + sin 2 theta + …+ sin n theta, equals

    Text Solution

    |

  7. cos.(2pi)/(7)+cos.(4pi)/(7)+cos.(6pi)/(7)

    Text Solution

    |

  8. If cosA=3/4, then 32 sin, A/2 sin, (5A)/2= (A) sqrt(11) (B) -sqrt(11) ...

    Text Solution

    |

  9. sin 12^(@) sin 48^(@) sin 54^(@) is equal to

    Text Solution

    |

  10. sin12^@sin24^@sin48^@sin84^@=

    Text Solution

    |

  11. (1+cos.(pi)/(8))(1+cos.(3pi)/(8))(1+cos.(5pi)/(8))(1+cos.(7pi)/(8)) is...

    Text Solution

    |

  12. If mtan(theta-30^0)=ntan(theta+120^0) then (m+n)/(m-n) is equal to

    Text Solution

    |

  13. The vlaue of cos^(2)76^(@)+cos^(2)16-cos76^(@)cos16^(@),is

    Text Solution

    |

  14. 2 sin ^(2) beta + 4 cos (alpha + beta) sin alpha sin beta + cos 2 (alp...

    Text Solution

    |

  15. In triangle ABC, the value of sin 2A + sin 2B+ sin 2C is equal to

    Text Solution

    |

  16. If A+B+C=pi and cosA=cosBcosC then tanBtanC is equal to

    Text Solution

    |

  17. If A,B ,C are the angle of Delta ABC then cot A .cot B + c...

    Text Solution

    |

  18. If A+B+C=180^@ then the value of (cotB+cotC)(cotC+cotA)(cotA+cotB) wil...

    Text Solution

    |

  19. If A+b+C=pi then (tanA+tanB+tanC)/(tanAdota n BdottanC)

    Text Solution

    |

  20. In a triangle ABC angle A=pi/2 then cos^2B+cos^2C=

    Text Solution

    |