Home
Class 11
MATHS
If cos(A+B+C)=cosAcosBcosC , then find t...

If `cos(A+B+C)=cosAcosBcosC ,` then find the value of `(8sin(B+C)sin(C+A)sin(A+B))/(sin2Asin2Bsin2C)`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If A+C=2b, then the value of (cos C - cos A)/(sin A-sin C) is-

Find the value of 2ac sin ((A-B+C)/2) for /_\ABC

In quadrilateral A B C D , if sin((A+B)/2)cos((A-B)/2)+"sin"((C+D)/2)cos((C-D)/2)=2 then find the value of sinA/2sinB/2sinC/2sinD/2dot

In triangle ABC, prove that sin(B+C-A)+sin(C+A-B)+sin(A+B-C) =4sin Asin Bsin Cdot

If sin A +sin B =2, then the value of cos (A+B) is-

If intcos^4x/(sin^2x)dx = Acotx+ Bsin2x+C/2x+D , then find the value of B and C

In any triangle ABC, the value of (b^(2)sin 2C + c^(2) sin 2B) is-

Find the value of 2ac sin((A-B+C)/(2))" for "DeltaABC .

(iv) a sin (B-C) + b sin(C-A) + c sin (A-B)=0

If the incircle of the triangle ABC passes through its circumcenter, then find the value of 4 sin.(A)/(2) sin.(B)/(2) sin.(C)/(2)

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve 2tantheta-cottheta=-1

    Text Solution

    |

  2. If sec^4theta+sec^2theta=10+tan^4theta+tan^2theta, then sin^2theta=

    Text Solution

    |

  3. If cos(A+B+C)=cosAcosBcosC , then find the value of (8sin(B+C)sin(C+A)...

    Text Solution

    |

  4. In the given figure, what is the radius of the inscribed circle? 3/2 ...

    Text Solution

    |

  5. Solve tan3theta=-1

    Text Solution

    |

  6. If sinA=sin^2Ba n d2cos^2A=3cos^2B then the triangle A B C is right...

    Text Solution

    |

  7. In triangle A B C , if cotA *cotC=1/2a n dcot B* cotC=1/(18), then t...

    Text Solution

    |

  8. If in a triangle A B C ,(1+cosA)/a+(1+cosB)/b+(1+cosC)/c =(k^2(1+cosA...

    Text Solution

    |

  9. Solve tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3)

    Text Solution

    |

  10. The product of the sines of the angles of a triangle is p and the prod...

    Text Solution

    |

  11. If (sinx)/a=(cosx)/b=(tanx)/c=k , then b c+1/(c k)+(a k)/(1+b k) is eq...

    Text Solution

    |

  12. In A B C ,a=5,b=12 ,c=90^0a n dD is a point on A B so that /B C D=45^...

    Text Solution

    |

  13. Solve tan5theta=cot2theta

    Text Solution

    |

  14. If x+y+z=pi/2, then prove that |[sinx,siny,sinz],[cosx,cosy,cosz],[c...

    Text Solution

    |

  15. In a right-angled isosceles triangle, the ratio of the circumradius an...

    Text Solution

    |

  16. If sinx+cos e cx=2, then sin^n x+cos e c^n x is equal to

    Text Solution

    |

  17. Solve 2sin^(2)x-5sinxcosx-8cos^2x=-2

    Text Solution

    |

  18. Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

    Text Solution

    |

  19. In A B C ,(sinA(a-bcosC))/(sinC(c-bcosA) =

    Text Solution

    |

  20. If sinx+sin y+sinz+sinw=-4, then the value of sin^(400)x+sin^(300)y+si...

    Text Solution

    |