Home
Class 11
MATHS
If in a triangle acos^2(C/2)+ c cos^2(A...

If in a triangle `acos^2(C/2)+ c cos^2(A/2)=(3b)/2,` then find the relation between the sides of the triangle.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

In triangleABC if acos^2(C/2)+c cos^2(A/2)=3b/2 then show that a,b,c are in A.P

If a cos^(2)'C/2' + c cos^(2)'A/2' = (3b)/2 then show that the sides of the triangle are in A.P.

If in a triangle ABC, a cos ^(2)""C/2+ c cos ^(2)""A/2=(3b)/(2), then the sides a, b and c-

In a triangle ABC if a cos^2(C/2)+c cos^2(A/2)=((3b)/2) show that sides of the trianglea are in A.P.

If in a triangle DeltaABC,a^(2)cos^(2)A-b^(2)-c^(2)=0 , then

In a triangle ABC, if (cos A)/(a) =(cos B)/(b ) =(cos C)/(c) and the side a=2, then the area of the triangle is-

If in a triangle ABC, cos^(2)A + cos^(2)B + cos^(2)C =1 , then show that the triangle is right angled.

If in triangle A B C, \delta = a^2-(b-c)^2 , then find the value of tanAdot

In triangle ABC, if cos^(2)A + cos^(2)B - cos^(2) C = 1 , then identify the type of the triangle

Let PQR be a triangle of area Delta with a=2,b=7/2 and c=5/2 , where a,b and c are the lengths of the sides of the triangle opposite to the angles at P,Q and R respectively. Then ((2sinP-sin2P)/ (2sinP+sin2P)) equals

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 4sin^4x+cos^4x=1,then x is equal to (n in Z) (a)npi (b) npi+-...

    Text Solution

    |

  2. If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/...

    Text Solution

    |

  3. If in a triangle acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then find the rela...

    Text Solution

    |

  4. Evaluate cosacos2acos3a......... cos 999 a , where a=(2pi)/(1999)dot

    Text Solution

    |

  5. If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z)

    Text Solution

    |

  6. Let ABC be a triangle of area 24sq.units and PQR be the triangle forme...

    Text Solution

    |

  7. Find the number of pairs of integer (x , y) that satisfy the followin...

    Text Solution

    |

  8. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

    Text Solution

    |

  9. Let A D be a median of the A B Cdot If A Ea n dA F are medians of ...

    Text Solution

    |

  10. Find the value of cos12^0+cos84^0+cos156^0+cos132^0

    Text Solution

    |

  11. If no solution of 3siny+12sin^3x=a lies on the line y=3x , then a in ...

    Text Solution

    |

  12. If in a triangle P Q R ,sinP ,sinQ ,sinR a r e i n AdotPdot , then ...

    Text Solution

    |

  13. Find the angle theta whose cosine is equal to its tangent.

    Text Solution

    |

  14. If sin^2x-2sinx-1=0 has exactly four different solutions in x in [0,np...

    Text Solution

    |

  15. If in a triangle the angles are in the ratio as 1:2:3 , prove that the...

    Text Solution

    |

  16. A balloon is observed simultaneously from three points A, B and C on a...

    Text Solution

    |

  17. A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (...

    Text Solution

    |

  18. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  19. Prove that tan(pi/10) is a root of polynomial equation 5x^4-10 x^2+1=0...

    Text Solution

    |

  20. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then

    Text Solution

    |