Home
Class 11
MATHS
Number of triangles A B C if tanA=x ,tan...

Number of triangles `A B C` if `tanA=x ,tanB=x+1,a n dtanC=1-x` is ________

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Column I Column II In A B C , if cos24+cos2B+cos2C=-1 then we can conclude that triangle is p. Equilateral triangle In A B C if tanA >0,tanB >0a n dtanAtanB 0,cotB >0a n dcotAcotB<1, then triangle is s. Obtuse angled triangle

If (1+tanA)(1+tanB)=2 , then tan(A+B)=

In triangle ABC, right angled at C, (tanA+tanB) equal to

Prove that if tanA=1/7 and tanB=1/3 then cos2A=sin4B

Prove that there exist exactly two non-similar isosceles triangles A B C such that tanA+tanB+tanC=100.

If in a triangle ABC,tanA+tanB+tanC=6 and tanAtanB=2, then the triangle is acute angled triangle.

Prove that a triangle A B C is equilateral if and only if tanA+tanB+tanC=3sqrt(3)dot

In a triangle tanA+tanB+tanC=6 and tanAtanB=2 , then the values of tanA, tanB and tanC are

: In A B Cdot Show that, tanA+tanB+tanC=tanAtanBtanC

If A,B,C are the angles of a non right angled triangle ABC. Then find the value of: |[tanA,1,1],[1,tanB,1],[1,1,tanC]|

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that sqrt(sin^4x+4cos^2x)-sqrt(cos^4x+4sin^2x)=cos2xdot

    Text Solution

    |

  2. If cos^2A+cos^2B+cos^2C=1, t h e n ABC is

    Text Solution

    |

  3. Number of triangles A B C if tanA=x ,tanB=x+1,a n dtanC=1-x is

    Text Solution

    |

  4. Which of the following quantities are rational? (a)sin((11pi)/(12))sin...

    Text Solution

    |

  5. If log(10)sin x + log(10)cos x=-1 and log(10)(sin x + cos x)=((log(10)...

    Text Solution

    |

  6. If tan(alpha-beta)=(sin2beta,)/(3-cos2beta) then (a)tanalpha=2tanbet...

    Text Solution

    |

  7. If cosbeta is the geometric mean between sinalphaa n dcosalpha, where ...

    Text Solution

    |

  8. In a triangle A B C , if A-B=120^0a n dsin(A/2)sin(B/2)sin(C/2)=1/(32...

    Text Solution

    |

  9. In a Delta PQR,angleR=pi/2. If tan(P/2) and tan (Q/2) are the roots of...

    Text Solution

    |

  10. If (tanx)/2=(tany)/3=(tanz)/5,x+y+z=pi and tan^2x+tan^2y+tan^2z is

    Text Solution

    |

  11. In A B C , if sin^3theta=sin(A-theta)sin(B-theta)sin(C-theta) , then ...

    Text Solution

    |

  12. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

    Text Solution

    |

  13. Find the sum of the series cos e ctheta+cos e c2theta+cos e c4theta+ t...

    Text Solution

    |

  14. If tan6theta=p/q , find the value of 1/2(pcosec2theta-qsec2theta)

    Text Solution

    |

  15. If 0ltalphaltpi/2 and sinalpha+cosalpha+tanalpha+cotalpha+secalpha+cos...

    Text Solution

    |

  16. Prove that 1+cot theta <= cot (theta/2) for 0 &lt; theta &lt; pi. Find...

    Text Solution

    |

  17. Let A,B,C, be three angles such that A=pi/4 and tanB ,tanC=pdot Find a...

    Text Solution

    |

  18. Eliminate x from equations sin(a+x)=2b and sin(a-x)=2c.

    Text Solution

    |

  19. If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alph...

    Text Solution

    |

  20. show that (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=1/2(tan27x-t...

    Text Solution

    |