Home
Class 11
MATHS
If x +y+z = 180^@, then cos2x + cos2y-...

If `x +y+z = 180^@`, then `cos2x + cos2y-cos2z` is equal to

A

`4 sin x sin y sin z`

B

` 1-4 sin x sin y cos z`

C

`4 sin x sin y sin z-1`

D

`cos x cos y cos z`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise COMETITIVE THINKING|34 Videos
  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 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

2 cos x cos y is equal to:

26. If x,y,z are in A.P,then (sin x-sin z)/(cos z-cos x) is equal to a.tan y b.cot y c.sin y d.cos y

If x,y,z are in A.P.then (sin x-sin z)/(cos z-cos x) is equal to tan y(b)cot y(c)sin y(d)cot y

If x + y = z then cos ^ (2) x + cos ^ (2) y + cos ^ (2) z-2cos x cos y cos z =

If sin x + sin y + sin z = 0 and cos x + cos y + cos z = 0 then prove that cot (x+y)/2 = cot z and cos (x-y)/2 = pm 1/2

TARGET PUBLICATION-FACTORIZATION FORMULAE-CRITICAL THINKING
  1. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =

    Text Solution

    |

  2. Prove that tan 20^(@) tan 40^(@) tan 80^(@)=tan 60^(@)

    Text Solution

    |

  3. The value of (tan 70^(@) - tan 20^(@))/( tan 50^(@))=

    Text Solution

    |

  4. The value of tan20^(@)+2 tan50^(@)-tan70^(@), is

    Text Solution

    |

  5. cosec 48^(@) + cosec 96^(@) + cosec 192^(@) + cosec 384^(@)=

    Text Solution

    |

  6. If the value of cos((2pi)/7) + cos((4pi)/7)+cos((6pi)/7)+cos((7pi/7))=...

    Text Solution

    |

  7. The expression cos^(2)(A-B)+cos^(2)B-2cos(A-B)cosAcosB is

    Text Solution

    |

  8. If A=tan6^(@) tan 42^(@) and B= cot 66^(@)cot 78^(@) then-

    Text Solution

    |

  9. If A, B, C are the angles of a triangle, then sin 2A + sin 2B - sin 2C...

    Text Solution

    |

  10. If A+B+C=pi , prove that cos 2A +cos 2B +cos 2C=-1-4cos A cos Bcos ...

    Text Solution

    |

  11. If x +y+z = 180^@, then cos2x + cos2y-cos2z is equal to

    Text Solution

    |

  12. If A+B+C=3pi/2. Then cos 2A +cos 2B+cos2C is equal to

    Text Solution

    |

  13. if A+B+C=pi then cosA/(sinBsinC)+cosB/(sinCsinA)+cosC/(sinAsinB)=

    Text Solution

    |

  14. If A, B, C are the angles of a triangle then sin^(2)A+sin^(2)B+sin^(2)...

    Text Solution

    |

  15. Prove that: cos^2A+cos^2(A+pi/3)+cos^2(A-pi/3)=3/2

    Text Solution

    |

  16. If A+B+C=pi then prove that cos^2 (A/2)+cos^2 (B/2)-cos^2 (C/2)=2cos(A...

    Text Solution

    |

  17. In a triangle ABC, the value of sinA+sinB+sinC is

    Text Solution

    |

  18. If A+B+C = 180^@ then (sin 2A + sin 2B + sin 2C) / (cosA + cosB + cosC...

    Text Solution

    |

  19. If alpha+beta+gamma=2pi then

    Text Solution

    |

  20. In a DeltaABC sum((cotA+cotB)/(tanA+tanB)) is equal to

    Text Solution

    |