Home
Class 12
MATHS
The perimeter of atriangle ABC is 6 time...

The perimeter of atriangle ABC is 6 times the arihmetic mean of the sines of its angles .If the side a is 1. the `angle A` is

A

`(pi)/6`

B

`(pi)/3`

C

`(pi)/2`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE|152 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles|27 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

The perimeter of a DeltaABC is 6 times the arithmetic mean of the sines of its angles. If the side a is 1, then the angle A is

The perimeter of a triangle ABC is saix xx the arithmetic mean of the sines of its angles. If the side a is 1 then find angle A.

The perimeter of a !ABC is 6 times arithmetic mean of the sines of its angles .If a = 1, then A =

If the perimeter of a triangle is six xx the arithmetic mean of the sine angles and the side 'a' is unity,then A=

The perimeter of a right-angled triangle is k times the shortest side. lf the ratio of the other side to hypotenuse is 4 : 5, then what is the value of k?

The perimeter of a triangle ABC right angled at C is 70 and the inradius is 6, then |a-b|=

The perimeter of a triangle ABC right angled at C is 70, and the inradius is 6, then |a-b| equals

Let p be the product of the sines of the angles of a triangle ABC and q is the product of the cosines of the angles In this triangle tan A+tan B+tan C is equal to

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-HARDER SOLVED EXAMPLES
  1. If the sides of a triangle are in the ratio 1 : sqrt(3) : 2, then its ...

    Text Solution

    |

  2. If the angles of a triangle are in the ratio 4 : 1: 1, then the ratio ...

    Text Solution

    |

  3. The perimeter of atriangle ABC is 6 times the arihmetic mean of the si...

    Text Solution

    |

  4. A triangle park is enclosed on two sides by a fence and, on the third ...

    Text Solution

    |

  5. If the radius of the circum-circle of an isosceles triangle PQR is equ...

    Text Solution

    |

  6. In /\ABC, if 3 a=b + c, then cot(B/2) \ cot(C/2) =

    Text Solution

    |

  7. In a /\ABC, if A,B,C are in A.P., then: a/c (sin 2C) + c/a (sin 2A) ...

    Text Solution

    |

  8. If cos^(-1) x + cos^(-1) y + cos^(-1) z = pi" , prove that " x^(2) + ...

    Text Solution

    |

  9. If cos^(-1)(x/a) + cos^(-1) (y/b) = alpha show that : (x^2)/(a^2) - (...

    Text Solution

    |

  10. Prove that tan{(pi)/4 + 1/2 Cos^(-1)((a)/(b))}+tan{((pi)/4-1/2 Cos^(-1...

    Text Solution

    |

  11. If 0<a1<a2<ddot<an , then prove that tan^(-1)((a1x-y)/(x+a1y))+tan^(-1...

    Text Solution

    |

  12. If a(1), a(2), a(3),...., a(n) is an A.P. with common difference d, th...

    Text Solution

    |

  13. If alpha = tan^(-1) ((xsqrt(3))/(2y - x)) and beta = tan^(-1) ((2x - y...

    Text Solution

    |

  14. Find the period of the function f(x) = tan (3x + 5).

    Text Solution

    |

  15. Find the period of (i) sin 3x + cos 3x

    Text Solution

    |

  16. Find the period of sin 5x - cos 5x.

    Text Solution

    |

  17. Find the period of the function f(x) = sin((pi x)/3) + cos ((pi x)/2...

    Text Solution

    |

  18. If m tan(alpha-theta)/( cos^2 theta) = n (tan theta)/ (cos^2 (alpha -...

    Text Solution

    |

  19. Show that cos^(-1) ((cos alpha+cos beta)/(1+cosalpha cosbeta))=2 tan^(...

    Text Solution

    |

  20. tan[2.tan^(-1)(1/5)- pi/4]=

    Text Solution

    |