Home
Class 11
MATHS
If cosx+cosy+cosalpha=0 and sinx + siny ...

If `cosx+cosy+cosalpha=0` and `sinx + siny + sinalpha=0`, then `cot((x+y)/2)=`

A

`sinalpha`

B

`cosalpha`

C

`cotalpha`

D

`2sinalpha`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|16 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 12|1 Videos

  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If cosx + cosy + cosz = 0 = sinx + siny + sinz ,then possible value of cos((x-y)/2) is (A) 4 3 1 2 (B) 4 3 2 1 (C) 3 4 2 1 (D) 3 4 1 2

If 1 + cos x cos y + sin x sin y = 0 , then which of the following is / are true 1. cosx + cosy = 0 2. sinx + siny = 0 3. sinx + cosy = 0 chose the correct option from the code given below

If cosx+cosy+cosz=sinx+siny+sinz=0" then "cos(x-y)=

If cosx.cosy + sinx.siny = -1 then cosx + cosy is

If cos x. cosy+sinx.siny=-1 then cosx+cosy is :

If sinx+cosy=(1)/(3) and cos x+siny=(3)/(4) , then the value of tan((x-y)/(2)) is equal to

If |[cosx, sinx, cosx], [-sinx, cosx, sinx], [-cosx, -sinx, cosx]|=0 , then x=

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (O-1)
  1. The number of real solutions of the equation sin(e^x)=2^x+2^(-x) is

    Text Solution

    |

  2. If f(x)=sin(3x)/sin x,x!=npi, then the range of values of f(x) for ...

    Text Solution

    |

  3. If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0, then cot((x+y)/2...

    Text Solution

    |

  4. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

    Text Solution

    |

  5. Maximum and minimum value of 2sin^(2)theta-3sintheta+2 is-

    Text Solution

    |

  6. For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+...

    Text Solution

    |

  7. Minimum value of the expression cos^2theta-(6 sintheta cos theta) + 3 ...

    Text Solution

    |

  8. The general solution of tan3x=1 is

    Text Solution

    |

  9. If 2tan^(2)theta=sec^(2)theta, then the general solution of theta-

    Text Solution

    |

  10. Number of principle solution(s) of the equation 4.16^(sin^(2)x) = 2^(6...

    Text Solution

    |

  11. If tantheta-sqrt2sectheta=sqrt3 then find the general solution of thet...

    Text Solution

    |

  12. The number of solution of the equation tan^(2)-sec^(10)x+1=0 in (0,10)...

    Text Solution

    |

  13. The solution set of (5+4costheta)(2costheta+1)=0 in the interval [0,2p...

    Text Solution

    |

  14. The equation sinx cosx=2 has:

    Text Solution

    |

  15. If 0<=x<=3pi ,0<=y<=3pi and cos x .sin y = 1 , then find the possible ...

    Text Solution

    |

  16. If (tan2theta+tantheta)/(1-tanthetatan2theta)=0 then the general value...

    Text Solution

    |

  17. cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi...

    Text Solution

    |

  18. The set of value of the theta satisfying the inequation 2 sin^(2) the...

    Text Solution

    |

  19. The number of solutions of the pair of equations 2s in^2theta-cos2thet...

    Text Solution

    |

  20. Whenever the terms on the two sides of the equation are of different n...

    Text Solution

    |