Home
Class 11
MATHS
2 sin ^(2) beta + 4 cos (alpha + beta) s...

`2 sin ^(2) beta + 4 cos (alpha + beta) sin alpha sin beta + cos 2 (alpha + beta )=`

A

` sin 2 alpha `

B

`cos 2 beta `

C

`cos 2 alpha `

D

`sin 2 beta `

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

2sin^(2)beta+4cos(alpha+beta)sin alpha sin beta+cos2(alpha+beta)=

Prove that 2sin^(2)beta+4cos(alpha+beta)sin alpha sin beta+cos2(alpha+beta)=cos2 alpha

Simplify 2sin^(2)beta+4cos(alpha+beta)sin alpha sin beta+cos2(alpha+beta)

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

Show that 2"sin"^(2)beta+4 cos(alpha+beta)"sin" alpha sin beta+cos2(alpha+beta)=cos 2alpha .

The value of sin^2 alpha cos^2 beta + cos^2 alpha sin^2 beta + sin^2 alpha sin^2 beta +cos^2 alpha cos^2 beta is

sin ^ (2) alpha + cos ^ (2) (alpha + beta) + 2 sin alpha sin beta cos (alpha + beta) = (i) sin ^ (2) (alpha) (ii) sin ^ (2) (beta ) (iii) cos ^ (2) (alpha) (iv) cos ^ (2) (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]]

(cos alpha + cos beta)/( sin alpha - sin beta) + (sin alpha + sin beta)/( cos alpha - cos beta ) =

TARGET PUBLICATION-FACTORIZATION FORMULAE-COMETITIVE THINKING
  1. If cos x=3, cos y, then 2 tan ((y-x)/(2))=

    Text Solution

    |

  2. If cosA=mcosB, then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 2 sin ^(2) beta + 4 cos (alpha + beta) sin alpha sin beta + cos 2 (alp...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If A+B+C=180^(@), then the value of cot.(A)/(2)+cot.(B)/(2)+cot.(C)/(2...

    Text Solution

    |

  19. Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3...

    Text Solution

    |

  20. In any triangle ABC. sin ^(2) ""A/2 + sin ^(2) ""B/2 + sin ^(2) ""C/2 ...

    Text Solution

    |