Home
Class 11
MATHS
In triangle A B C ,2a csin(1/2(A-B+C)) i...

In triangle `A B C ,2a csin(1/2(A-B+C))` is equal to `(a) a^2+b^2-c^2` (b) `c^2+a^2-b^2` (c) `b^2-c^2-a^2` (d) `c^2-a^2-b^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

In triangle A B C ,2a csin(1/2(A-B+C)) is equal to a^2+b^2-c^2 (b) c^2+a^2-b^2 b^2-c^2-a^2 (d) c^2-a^2-b^2

In any A B C , the value of 2a csin((A-B+C)/2) is (a) a^2+b^2-c^2 (b) c^2+a^2-b^2 (c) b^2-c^2-a^2 (d) c^2-a^2-b^2

In a A B C(b csin^2A)/(cos A+cosB cos C) is equal to b^2+C^2 b. b c c. a^2 d. a^2+b c

In a triangle A B C ,\ (a^2-b^2-c^2)tanA+(a^2-b^2+c^2)tanB is equal to (a^2+b^2-c^2)tanC (b) (a^2+b^2+c^2)tanC (b^2+c^2-a^2)tanC (d) none of these

If D is the mid-point of the side B C of triangle A B C and A D is perpendicular to A C , then 3b^2=a^2-c ^2 (b) 3a^2=b^2 3c^2 b^2=a^2-c^2 (d) a^2+b^2=5c^2

With usual notations, in triangle A B C ,acos(B-C)+bcos(C-A)+c"cos"(A-B) is equal to(a) (a b c)/R^2 (b) (a b c)/(4R^2) (c) (4a b c)/(R^2) (d) (a b c)/(2R^2)

If D is the mid-point of the side B C of triangle A B C and A D is perpendicular to A C , then 3b^2=a^2-c (b) 3a^2=b^2 3c^2 b^2=a^2-c^2 (d) a^2+b^2=5c^2

If any triangle A B C , that: (asin(B-C))/(b^2-c^2)=(bsin(C-A))/(c^2-a^2)=(csin(A-B))/(a^2-b^2)

In any triangle A B C , prove that: ("sin"(B-C))/("sin"(B+C))=(b^2-c^2)/(a^2)

In a triangle A B C , right angled at C ,t a n A+t a n B is equal to a. a+b b. (c^2)/(a b) c. (a^2)/(b c) d. (b^2)/(a c)

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find all the solution of 4cos^2xsinx-2sin^2x=3sinx

    Text Solution

    |

  2. If f(theta)=(1-sin2theta+cos2theta)/(2cos2theta) , then value of 8f(1...

    Text Solution

    |

  3. In triangle A B C ,2a csin(1/2(A-B+C)) is equal to (a) a^2+b^2-c^2 (b...

    Text Solution

    |

  4. tan100^0+tan125^0+tan100^0tan125^0 is equal to 0 (b) 1/2 (c) -1 (d) ...

    Text Solution

    |

  5. The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2,...

    Text Solution

    |

  6. Let A1,A2,....An be the vertices of an n-sided regular polygon such t...

    Text Solution

    |

  7. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

    Text Solution

    |

  8. Let f(x)=x^2a n dg(x)=sinxfora l lx in Rdot Then the set of all x sat...

    Text Solution

    |

  9. IF the lengths of the side of triangle are 3,5 and 7, then the largest...

    Text Solution

    |

  10. For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

    Text Solution

    |

  11. In triangle A B C ,/B=pi/3,a n d/C=pi/4dot Let D divided B C internall...

    Text Solution

    |

  12. If costheta1 =2costheta2, then tan((theta1-theta2)/2)tan((theta1+thet...

    Text Solution

    |

  13. If (cos e c^2theta-4)x^2+(cottheta+sqrt(3))x+cos^2(3pi)/2=0 holds true...

    Text Solution

    |

  14. Consider the following statements concerning a DeltaABC (i) The sid...

    Text Solution

    |

  15. Which of the following is the value of sin 27^0-cos 27^0? (a) -(s...

    Text Solution

    |

  16. If the equation sin^2 x-a sin x + b = 0 has only one solution in (0, p...

    Text Solution

    |

  17. In triangle A B C ,a , b , c are the lengths of its sides and A , B ,C...

    Text Solution

    |

  18. In a A B C , if tanA:tanB :tanC=3:4:5, then the value of sinA sinB ...

    Text Solution

    |

  19. Let tanx-tan^2x >0 and |2sinx|<1 . Then the intersection of which of t...

    Text Solution

    |

  20. One angle of an isosceles triangle is 120^0 and the radius of its inci...

    Text Solution

    |