Home
Class 11
MATHS
In A B C ,(sinA(a-bcosC))/(sinC(c-bcosA...

In ` A B C ,(sinA(a-bcosC))/(sinC(c-bcosA)` =

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

In A B C , if (sinA)/(csinB)+(sinB)/c+(sinC)/b=c/(a b)+b/(a c)+a/(b c), then the value of angle A is 120^0 (b) 90^0 (c) 60^0 (d) 30^0

If A B C ,sinC+cosC+sin(2B+C)-cos(2B+C)=2sqrt(2.) Prove that A B C is right-angled isosceles.

In triangle A B C ,(sinA+sinB+sinC)/(sinA+sinB-sinC) is equal to

If three angles A,B and C are in A,P. Prove that cotB=(sinA-sinC)/(cosC-cosA) .

In any triangle ABC, prove that (a^(2)sin(B-C))/(sin B + sinC) + (b^(2)sin(C-A))/(sinC + sinA) +(c^(2)sin(A-B))/(sinA + sinB)=0

In a DeltaABC,sinA/sinC=sin(A-B)/sin(B-C) then

Let A B C be a triangle with incentre at I Also, let P and Q be the feet of perpendiculars from A to BI and CI respectively. Then which of the following results are correct? (A P)/(B I)=(sinB/2cosC/2)/(sinA/2) (b) (A Q)/(C I)=(sinC/2cosB/2)/(sinA/2) (A P)/(B I)=(sinC/2cosB/2)/(sinA/2) (d) (A P)/(B I)+(A Q)/(C I)=sqrt(3)if/_A=60^0

(ix) (a^(2) sin (B-C))/(sinA) + (b^(2) sin (C-A))/(sin B) + (c^(2) sin (A-B))/(sin C)=0

In a triangle ABC , if a,b,c are the sides opposite to angles A , B , C respectively, then the value of |{:(bcosC,a,c cosB),(c cosA,b,acosC),(acosB,c,bcosA):}| is

If A,B,C be the angles ofa triangle then prove that (sin A + sin B)(sin B + sin C)(sinC + sinA) gt sin A sin B sinC .

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve 2sin^(2)x-5sinxcosx-8cos^2x=-2

    Text Solution

    |

  2. Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

    Text Solution

    |

  3. In A B C ,(sinA(a-bcosC))/(sinC(c-bcosA) =

    Text Solution

    |

  4. If sinx+sin y+sinz+sinw=-4, then the value of sin^(400)x+sin^(300)y+si...

    Text Solution

    |

  5. Prove that cos20^0cos40^0cos60^0cos80^0=1/(16)dot

    Text Solution

    |

  6. Find common roots of the equations 2sin^2x+sin^2 2x=2a n dsin2x+cos2x=...

    Text Solution

    |

  7. The sides of a triangle are in A.P. and its area is 3/5t h of the an e...

    Text Solution

    |

  8. If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0ltxltpi, then xis ...

    Text Solution

    |

  9. If K=sin(pi/(18))sin((5pi)/(18))sin((7pi)/(18)), then the numerical va...

    Text Solution

    |

  10. One of the general solutions of 4sin^4x+cos^4x=1 is npi+-alpha/2,alph...

    Text Solution

    |

  11. The value of the expression (tan^2 20^0-sin^2 20^0)/((tan^2 20^0)(sin^...

    Text Solution

    |

  12. A piece of paper is in the shape of a square of side 1m long. It is cu...

    Text Solution

    |

  13. If sinx+cosx=(sqrt(7))/2, where x in 1s t quadrant, then tan(x/2) is e...

    Text Solution

    |

  14. If tantheta+sectheta=1. 5 , find sintheta,tantheta and secthetadot

    Text Solution

    |

  15. Show that the line joining the incenter to the circumcenter of triangl...

    Text Solution

    |

  16. For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)c...

    Text Solution

    |

  17. The value of cot70^0+4cos70^0 is

    Text Solution

    |

  18. In A B C , right-angled at C , if tanA=sqrt((sqrt5-1)/2) , show tha...

    Text Solution

    |

  19. If "coses"theta-sintheta=m,sectheta-costheta=n,"eliminate"theta

    Text Solution

    |

  20. The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) ...

    Text Solution

    |