Home
Class 11
MATHS
prove that In an acute angled triangle A...

prove that In an acute angled triangle ABC, `secA+ secB+secCge6` is

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

In an acute angled triangle ABC, show that tan^2A+tan^2B+tan^2Cge9

Let O be the circumcentre and H be the orthocentre of an acute angled triangle ABC. If A gt B gt C , then show that Ar (Delta BOH) = Ar (Delta AOH) + Ar (Delta COH)

If H is the othrocenter of an acute angled triangle ABC whose circumcircle is x^2+y^2=16 , then circumdiameter of the triangle HBC is 1 (b) 2 (c) 4 (d) 8

Let ABC be an acute angled triangle whose orthocentre is at H. If altitude from A is produced to meet the circumcircle of triangle ABC at D , then prove H D=4RcosBcosC

Delta ABC is an acute angle triangle inscribed in a circle in a circle .AD is a diameter of the circle . Two perpendiculars BE and CF are drawn from B and C to AC and AB respectively , which intersect each other at the point G . Prove that BDCG is a parallelogram.

Using vectors , prove that in a triangle ABC a = b cos C + c cos B where a,b,c are lengths of the ideas opposite to the angles A,B,C of triangle ABC respectively .

Using vectors , prove that in a triangle ABC a/(sin A) = b/(sin B) = c/(sin C) where a,b,c are lengths of the ideas opposite to the angles A,B,C of triangle ABC respectively .

In an acute angled triangle ABC, prove that tan^(2)a+tan^(2)B+tan^(2) C ge9 .

ABC is an acute angled triangle in which cosec (B+C-A) =1 and cot (C+A-B)=1/sqrt(3) , then sin A =

ABC is an acute angled triangle in which cosec (B+C-A) =1 and cot (C+A-B)=1/sqrt(3) , then tan C=

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If S=cos^2(pi/n) + cos^2((2pi)/n) +....+ cos^2((n-1)pi)/n, then S equa...

    Text Solution

    |

  2. If cos5theta = acostheta +bcos^2theta + c.cos^5theta =d, then

    Text Solution

    |

  3. prove that In an acute angled triangle ABC, secA+ secB+secCge6 is

    Text Solution

    |

  4. If Tn=sin^ntheta+ cos^ntheta, then (T6-T4)/T6=m holds for value of m s...

    Text Solution

    |

  5. Value of the expression 2sinx-cos2x is

    Text Solution

    |

  6. The range of function tan(pi/4sin^2x) must be

    Text Solution

    |

  7. The inequation 4sin3x+5ge4cos2x+5sinx

    Text Solution

    |

  8. If 7cosx-24sinx=dcos(x+alpha), oltalphaltpi/2, be true for all x in R,...

    Text Solution

    |

  9. Prove that abs(sinthetasin(60^@-theta)sin(60^@+theta)) le1/4 for all v...

    Text Solution

    |

  10. In a Delta ABC

    Text Solution

    |

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

    Text Solution

    |

  12. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

    Text Solution

    |

  13. If tanalpha and tanbeta are the roots of the equation x^2+px+q=0 (pne0...

    Text Solution

    |

  14. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

    Text Solution

    |

  15. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

    Text Solution

    |

  16. Let f(theta) = sqrt(a^2cos^2theta+b^2sin^2theta) + sqrt(a^2sin^2theta+...

    Text Solution

    |

  17. Let f(theta) = sqrt(a^2cos^2theta+b^2sin^2theta) + sqrt(a^2sin^2theta+...

    Text Solution

    |

  18. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

    Text Solution

    |

  19. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

    Text Solution

    |

  20. Match List - I with List-II

    Text Solution

    |