Home
Class 11
MATHS
If any DeltaABC, show that : (sin^2A+s...

If any `DeltaABC,` show that : `(sin^2A+sinA+1)/sinAge3`

Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos
  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

In any triangle ABC show that sinA+sinB gt sin C

In any DeltaABC, prod(sin^2A+sinA+1)/sinA is always greater than

For any triangleABC show that c^2(sin^2B-sin^2A)+b^2(sin^2A-sin^2C)+a^2(sin^2C-sin^2B)=0

If in Delta ABC , Prove that, a^2 sin(B-C)= (b^2-c^2)sinA

In any triangle ABC, sum(sin^2A+sinA+1)/sinA is always greater than

In any triangle ABC show that b^2sin2C+c^2sin 2B=abc/R

"If" (tan 3 A)/(tan A) = k ", show that" ( sin 3 A)/(sin A) = (2k)/(k-1), also show that the value of k cannot lie between 1/3 "and" 3

In any triangle ABC, show that (a sin C)/(b - a cosC)= tanA .

If 2sinA-1 = 0 then show that sin3A = 3 sinA -4sin^3A .

In any /_\ABC , show that ‘c sin (A-B)/2=(a-b)cos(C/2)

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. In triangle ABC, D is the mid point of side BC. If AD is perpendicular...

    Text Solution

    |

  2. For a DeltaABc, it is given that cosA +cosB+cosC=3/2. prove that the D...

    Text Solution

    |

  3. If any DeltaABC, show that : (sin^2A+sinA+1)/sinAge3

    Text Solution

    |

  4. In a DeltaABC, if cotA+cosB+cotC=sqrt3. prove that the Deltais equilat...

    Text Solution

    |

  5. Perpendiculars are drawn from the anglesA, B,C,of an acute angles Delt...

    Text Solution

    |

  6. ABCD is a trapezium such that AB,DC.are parallel and BC is perpendicul...

    Text Solution

    |

  7. For any triangle ABC, ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)is equa...

    Text Solution

    |

  8. In DeltaABC, if a =5,b=4 and cos (A-B)=31/32,then the perimeter of tr...

    Text Solution

    |

  9. If in triangle ABC,cot(A/2)=(b+c)/a, then the triangleABC is

    Text Solution

    |

  10. In a triangleABC, tan(A/2)=5/6,tan(C/2)=2/5. Then which of the followi...

    Text Solution

    |

  11. In a triangle ABC , c^2=a^2+b^2 ,2s=a+b+c. Then 4s(s-a)(s-b)(s-c)is e...

    Text Solution

    |

  12. In a triangle ABC, acosA=bcosB. Then the triangle is

    Text Solution

    |

  13. Sides of a triangle ABC are in A.P. If a lt min{b,c},then cosA may be ...

    Text Solution

    |

  14. Angles A, Band C of a triangle ABC are in A.P.If b/c=sqrt3/sqrt2, then...

    Text Solution

    |

  15. In a triangleABC, bccotA+cacotB+c abcotC is equal to ?

    Text Solution

    |

  16. In a triangle ABC, (acosA+bcosB+ccc cosC)/(a+b+c) is equal to

    Text Solution

    |

  17. In a triangle ABC, angleB = pi/3 and angleC= pi/4. Let D divide side B...

    Text Solution

    |

  18. If in a triangle ABC,(2cosA)/a+(cosB)/b+(2cosC)/c=a/(bc)+b/(ac), then ...

    Text Solution

    |

  19. If the bisector of angle A of triangle ABC makes an angle theta with ...

    Text Solution

    |

  20. If P is a point on the altitude AD of the triangle ABC such that ang...

    Text Solution

    |