Home
Class 12
MATHS
If cos theta=(a)/(b+c),cos phi=(b)/(a+c)...

If `cos theta=(a)/(b+c),cos phi=(b)/(a+c),cospsi=(c)/(a+b)`, where `theat,phi,psi in (0,pi)` and a,b , c are sides of triangle ABC then find the value of `tan^(2)""(theta)/(2)+tan^(2)""(phi)/(2)+tan^(2)""(psi)/(2)`,

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos
  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

If cos theta=a/(b+c), cos phi= b/(a+c) and cos psi=c/(a+b) where theta, phi, psi in (0, pi) and a,b,c are sides of triangle ABC then tan^2(theta/2)+tan^2(phi/2)+tan^2(psi/2)=

If A,B,C are angles of a triangle ,then the minimum value of tan^(2)(A/2)+tan^(2)(B/2)+tan^(2)(C/2) , is

If tan theta = b/a, then find the value of a cos 2theta + b sin 2theta .

Let a,b,c be the sides of a triangle ABC, a=2c,cos(A-C)+cos B=1. then the value of C is

If sin theta and -cos theta are the roots of the equation ax^(2) - bx - c = 0 , where a, b, and c are the sides of a triangle ABC, then cos B is equal to

Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

If the sides a,b,c of a triangle are in Arithmetic progressioni then find the value of tan (A/2)+tan(C/2) in terms of cot(B/2)

For triangle ABC, show that : (i) "sin" (A + B)/(2) = "cos" (C)/(2) (ii) "tan" (B + C)/(2) = "cot" (A)/(2)

If sin theta and - cos theta are the roots of the equation ax^2-bx-c=0 where a, b and c the side of a triangle ABC , then cos B is equal to :-

If tan((theta)/(2))=5/2and tan((phi)/(2))=3/4, the value of cos(theta+phi), is

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
  1. The sides of a triangle are in AP. If the angles A and C are the great...

    Text Solution

    |

  2. perpendiculars are drawn from the angles A , Ba n dC of an acute-angle...

    Text Solution

    |

  3. If cos theta=(a)/(b+c),cos phi=(b)/(a+c),cospsi=(c)/(a+b), where theat...

    Text Solution

    |

  4. Given the base of a triangle, the opposite angle A, and the product k^...

    Text Solution

    |

  5. If a,b,c are in HP, then prove that sin ^(2) ""(A)/(2), sin ^(2) ""(B)...

    Text Solution

    |

  6. If in a triangle A B C ,cosA+2cosB+cosC=2 prove that the sides of the ...

    Text Solution

    |

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

    Text Solution

    |

  8. Prove that a triangle A B C is equilateral if and only if tanA+tanB+ta...

    Text Solution

    |

  9. Let ABC be a triangle having O and I as its circumcentre and incentre,...

    Text Solution

    |

  10. Let ABC be a triangle with incenter I and inradius r. Let D, E, and F ...

    Text Solution

    |

  11. If In is the area of n-s i d e d regular polygon inscribed in a cir...

    Text Solution

    |

  12. In a DeltaABC, if r(1) +r=r(2), then find the vlaue of (sec ^(2) A + c...

    Text Solution

    |

  13. In DeltaABC, let b=6, c=10and r(1) =r(2)+r(3)+r then find area of Delt...

    Text Solution

    |

  14. Consider on obtuse angle triangles with side 8 cm, 15 cm and xx cm (la...

    Text Solution

    |

  15. letABC be a right angled triangle at C. If the inscribed circle touche...

    Text Solution

    |

  16. Consider a Delta ABC and let a,b, and c denote the leghts of the sides...

    Text Solution

    |

  17. In a DeltaABC, the internal bisector of angle ABC meets AC at k. if BC...

    Text Solution

    |

  18. In DeltaABC has AC=13, AB=15 and BC=14. Let O be the circumcenter of t...

    Text Solution

    |

  19. With usual notation in Delta ABC, the numerical value of ((a+b+c)/(r...

    Text Solution

    |

  20. In a Delta ABC, cos A. cos C = (lambda(c^(2) - a^(2)))/(3 ca), if is t...

    Text Solution

    |