Home
Class 12
MATHS
If cos alpha+cos beta=0=sin alpha+sinbet...

If `cos alpha+cos beta=0=sin alpha+sinbeta, then cos2alpha+cos 2beta=`

A

`-2sin(alpha+beta)`

B

`-2cos (alpha+beta)`

C

`2sin(alpha+beta)`

D

`2cos (alpha+beta)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Exercise|190 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

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

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

If cos alpha+cos beta=0=sin alpha+sin beta, then cos2 alpha+cos2 beta is equal to (a)-2sin(alpha+beta)(b)-2cos(alpha+beta)(c)2sin(alpha+beta)(d)2cos(alpha+beta)

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

A = [[0, sin alpha, sin alpha sin beta-sin alpha, 0, cos alpha cos beta-sin alpha sin beta, -cos alpha cos beta, 0]]

If cos alpha+cos beta=0=sin alpha+sin beta, then prove that cos2 alpha+cos2 beta=-2cos(alpha+beta)

If cos alpha+cos beta=0=sin alpha+sin beta, then prove that cos2 alpha+cos2 beta=-2cos(alpha+beta)

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

If cosalpha+cosbeta=0=sinalpha+sinbeta , then prove that cos2alpha +cos2beta=-2cos(alpha +beta) .

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. If cos alpha+cos beta=0=sin alpha+sinbeta, then cos2alpha+cos 2beta=

    Text Solution

    |

  2. If sin beta is the GM between sin alpha and cos alpha, then cos 2beta...

    Text Solution

    |

  3. tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15) is equ...

    Text Solution

    |

  4. If sinB=1/5sin(2A+B), then (tan(A+B))/(tanA) is equal to

    Text Solution

    |

  5. (sin7theta+6sin5theta+17sin3theta+12sintheta)/(sin6theta+5sin4theta+12...

    Text Solution

    |

  6. If (cos(theta(1)-theta(2)))/(cos(theta(1)+theta(2)))+(cos(theta(3)+the...

    Text Solution

    |

  7. (1+cos56^(@)+cos58^(@) -cos66^(@))/(cos28^(@)cos29^@sin33^(@)) =

    Text Solution

    |

  8. alpha and beta are acute angles and cos2alpha = (3cos2beta-1)/(3-cos2b...

    Text Solution

    |

  9. If cosectheta=(p+q)/(p-q),then cot(pi,//4+theta//2)=

    Text Solution

    |

  10. If sinalpha+sin beta=a and cos alpha+cos beta=b,then sin(alpha+beta)=

    Text Solution

    |

  11. If cos(alpha+beta)=4/5, sin(alpha-beta)=5/13and alpha, beta between 0 ...

    Text Solution

    |

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

    Text Solution

    |

  13. The value of sum(k=1)^(3) cos^(2)(2k-1)(pi)/(12), is

    Text Solution

    |

  14. If (a^(2)+1)/(2a)=costheta, then (a^(6)+1)/(2a^(3))=

    Text Solution

    |

  15. The value of (1)/(cos290^(@))+(1)/(sqrt3sin250^(@)) is equal to

    Text Solution

    |

  16. If tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+bet...

    Text Solution

    |

  17. A and B are positive acute angles satisfying the equations 3cos^(2)A...

    Text Solution

    |

  18. If T(n)=cos^(n)theta+sin ^(n)theta, then 2T(6)-3T(4)+1=

    Text Solution

    |

  19. The maximum value of 1+8sin^(2)x^(2)cos^(2)x^(2) is

    Text Solution

    |

  20. Let thetain(0,pi//4)and t(1)=(tantheta)^(tantheta), t(2)=(tantheta)^(...

    Text Solution

    |