Home
Class 12
MATHS
If /\ ABC is right angled at A, show th...

If `/_\ ABC` is right angled at A, show that: `(b^(2) + c^(2))/(b^(2) - c^(2)) .sin (B - C)=1`.

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

if /_\ABC is a right angled at C, evaluate : (a^2 + b^2)/(a^2 - b^2) cdot sin (A - B) .

If Delta ABC is right -angled at C, then: (a^2 + b^2)/(a^2 - b^2) cdot sin (A - B) =....

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

If A,B,C are interior angles of /_ABC, show that : : cos ec^(2)((B+C)/(2))-tan^(2)((A)/(2))=1

In Delta ABC, if angle A = (pi)/(2) , then prove that sin (B - C) = (b^(2) - c^(2))/(b^(2) + c^(2))

COROLLARY 1 If Delta ABC is right tright tright angled at C such that AB=cBC=a and c^(2)=a^(2)+b^(2)rArr c^(2)>a^(2) and c^(2)>b^(2)rArr c>a and c>

Given that a,b,c, are the side of a ABC which is right angled at C, then the minimum value of ((c)/(a)+(c)/(b))^(2) is

If the angles A,B,C of /_\ABC are in A.P., and its sides a, b, c are in Gp., show that a^(2) , b^(2), c^(2) are in A.P.

Show that a^(2)(1+b^(2))+b^(2)(1+c^(2))+c^(2)(1+a^(2))gt abc

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

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-HARDER SOLVED EXAMPLES
  1. If /\ ABC is right angled at A, show that: (b^(2) + c^(2))/(b^(2) - c...

    Text Solution

    |

  2. if /\ABC is a right angled at C, evaluate : (a^2 + b^2)/(a^2 - b^2) ...

    Text Solution

    |

  3. If, in a /\ABC, it is given that, a^(4) + b^(4) + c^(4) = 2a^(2) (b^...

    Text Solution

    |

  4. If the angles A,B,C of /\ABC are in A.P., and its sides a, b, c are in...

    Text Solution

    |

  5. If one side of a triangle is double the other, and the angles opposite...

    Text Solution

    |

  6. If, in a /\ABC, it is given that tan A and tan B are the roots of the ...

    Text Solution

    |

  7. If /\ PQR is right-angled at R and tan P/2, tan Q/2 are the roots of t...

    Text Solution

    |

  8. If, in a /\ABC, it is given that a^(2), b^(2), c^(2) are in an A.P., s...

    Text Solution

    |

  9. If p(1),p(2),p(3) are altitude of a triangle ABC from the vertices A,B...

    Text Solution

    |

  10. Triangle ABC is isosceles with AB = AC. If the radius of the cicum-cir...

    Text Solution

    |

  11. If H is the orthocenter of DeltaABC and if AH = x, BH = y, CH = z, t...

    Text Solution

    |

  12. In any triangle A B C , prove that: a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B...

    Text Solution

    |

  13. If, in a /\ ABC, (2 cos A)/a + (cos B)/(b) + (2 cos C)/(c) = a/(bc) ...

    Text Solution

    |

  14. If, in a /\PQR, right angled at R, tan (P/2) and tan (Q/2) are the r...

    Text Solution

    |

  15. If, in Delta ABC, angle A,B,C are in A.P. And b : c = sqrt(3) : sqrt(2...

    Text Solution

    |

  16. If in a triangle ABC, a=1+sqrt(3)cm,b=2 cm and angleC=60^(@) , then fi...

    Text Solution

    |

  17. If the sides of a triangle are in the ratio 1 : sqrt(3) : 2, then its ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |