Home
Class 11
MATHS
In DeltaABC, if BC is unity, sin(A/2)=x1...

In `DeltaABC,` if BC is unity, `sin(A/2)=x_1,sin(B/2)=x_2,``cos(A/2)=x_3,cos(B/2)=x_4` with `((x_1)/x_2)^2007-((x_3)/x_4)^2007=0,`then the length of ACis .......

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC,BC=1,sin.(A)/2=x_1,sin.(B)/2=x_2,cos.(A)/2=x_3andcos.(B)/2=x_4" with "(x_1/x_2)^2007-(x_3/x_4)^2006=0 If angleA=90^@ , then area of DeltaABC is

In DeltaABC,BC=1,sin.(A)/2=x_1,sin.(B)/2=x_2,cos.(A)/2=x_3andcos.(B)/2=x_4" with "(x_1/x_2)^2007-(x_3/x_4)^2006=0 If angleA=90^@ , then area of DeltaABC is

int (sin 2x dx)/(a^(2) sin^(2)x+b^(2) cos^(2)x)

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

cos 4x =1- 8 sin ^(2) x cos ^(2) x

sin (n +1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x

Let f(x)=sin^(4)x-cos^(4)xandg(x)=1-2sin^(2)xcos^(2)x . intg(x)dx =

Let f(x)=sin^(4)x-cos^(4)xandg(x)=1-2sin^(2)xcos^(2)x . int_(0)^((pi)/(4))(f(x))/(g(x))dx =

Evaluate: int(sin2x)/(a^2sin^2x+b^2cos^2x)dxdot

The maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2) is

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If in triangle ABC cosA+cosB+cosC=3/2 then prove that triangle is equi...

    Text Solution

    |

  2. Let alpha,beta,gamma>0a n dalpha+beta+gamma=pi/2dot Then prove that sq...

    Text Solution

    |

  3. In DeltaABC, if BC is unity, sin(A/2)=x1,sin(B/2)=x2,cos(A/2)=x3,cos(B...

    Text Solution

    |

  4. Number of solutions of the equation sin^4x-cos^2xsinx+2sin^2x+sinx=0in...

    Text Solution

    |

  5. The ex-radii r1,r2,r3 or Delta ABC are in H.P. Show that its sides a,...

    Text Solution

    |

  6. Solve 7cos^2theta+3sin^2theta=4

    Text Solution

    |

  7. If sintheta+costheta=1/5"and"0 le theta ltpi, thentantheta is

    Text Solution

    |

  8. In A B C Prove that cos^2A/2+cos^2B/2+cos^2C/2lt=9/4dot If cos^2A/2...

    Text Solution

    |

  9. The exradii r1,r2 and r3 of /\A B C are in H.P. Show that its sides a...

    Text Solution

    |

  10. Find the number of roots of the equation tan(x+pi/6)=2tanx ,forx in (0...

    Text Solution

    |

  11. In triangle A B C , prove that cos e c A/2+cos e c B/2+cos e c C/2geq...

    Text Solution

    |

  12. If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1...

    Text Solution

    |

  13. C F is the internal bisector of angle C of A B C , then C F is equal ...

    Text Solution

    |

  14. Solve the equation 2(cos x+cos2x)+sin2x(1+2cos x)=2sinx for (-pilt=xlt...

    Text Solution

    |

  15. Which of the following is not the quadratic equation whose roots are c...

    Text Solution

    |

  16. If A+B+C=pi, prove that (tanA)/(tanBdottanC)+(tanB)/(tanAdott a n C...

    Text Solution

    |

  17. In triangle ABC, line joining the circumcenter and orthocenter is para...

    Text Solution

    |

  18. Solve 8sinx=(sqrt(3))/(cosx)+1/(sinx)

    Text Solution

    |

  19. If cos e ctheta-cottheta=q , then the value of cos e ctheta is

    Text Solution

    |

  20. If A+B+C=pi , prove that cotA+cotB+cotC-cos e cAdotcos e cBdotcos e cC...

    Text Solution

    |