Home
Class 12
MATHS
Find the minimum values of: "tan"^(2)...

Find the minimum values of:
` "tan"^(2)(A)/(2)+ "tan"^(2) (B)/(2)+"tan"^(2) (C)/(2)`
where A,B,C are the angles of a triangle.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find the minimum values of: "sin" ^(2) (A)/(2)+"sin"^(2)(B)/(2) +"sin" (C)/(2) where A,B,C are the angles of a triangle.

In /_\ABC , show that the minimum value of tan^2 (A/2) + tan^2 (B/2) + tan^2 (C/2) is 1.

Find the minimum values of: cot^(2)A+cot^(2)B+ cot ^(2)C where A,B,C are the angles of a triangle.

find the value of (2 tan 30^(@))/(1-tan^(2)30^(@))

If A, B, C are the angles of a triangle then tan ((B+C)/2)=

Evaluate : int (tan x dx)/(a+ b tan^(2)x)

If A+B+C=pi, prove that tan^2(A/2)+tan^2(B/2)+tan^2(C/2)geq1.

Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

if two angles of a triangle are tan ^(-1)""(1)/(2) and tan^(-1) ""(1)/(3) , then find the third angle .

If in triangleABC, tan^(-1)(a/(b+c))+ tan^(-1)(c/(a+b)) = pi/4 , then prove that, the triangle is right angled.

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

    Text Solution

    |

  2. Show that (1)/(3) lt (sec^(2) theta - tan theta)/( sec^(2) theta+ tan ...

    Text Solution

    |

  3. Find the minimum values of: "tan"^(2)(A)/(2)+ "tan"^(2) (B)/(2)+"ta...

    Text Solution

    |

  4. Find the minimum values of: cot^(2)A+cot^(2)B+ cot ^(2)C where A,...

    Text Solution

    |

  5. Find the minimum values of: 4sinA+3cosA

    Text Solution

    |

  6. Find the minimum values of: "sin" ^(2) (A)/(2)+"sin"^(2)(B)/(2) +"si...

    Text Solution

    |

  7. If A+B+C= pi and "tan" (B+C-A)/(4) "tan" (C+A-B)/(4) *"tan" (A+B-C)/(4...

    Text Solution

    |

  8. Prove that, |{:(6a,a,a),(12b,2b,2b),(9c,c,-2c):}|=0

    Text Solution

    |

  9. If cos alpha+ cos beta= a sin alpha+ sin beta=b, then show that "ta...

    Text Solution

    |

  10. Determine the value of k for which x-1 is a factor of (x^2 +1)+(x+k)do...

    Text Solution

    |

  11. Prove that : sec alpha+ sec (120^(@)+ alpha) sec (120^(@)-alpha)=-3...

    Text Solution

    |

  12. Prove that : "cosec" alpha+ "cosec" ((2pi)/(3)+alpha) +"cosec" ((pi)...

    Text Solution

    |

  13. find the differtiation of tan(a^x)

    Text Solution

    |

  14. If alpha, beta, gamma are positive acute angles, prove that sin alpha+...

    Text Solution

    |

  15. find the differtiation of sin(e^x)

    Text Solution

    |

  16. If cos alpha+ cos beta= a and sin alpha+ sin beta =b, then show that s...

    Text Solution

    |

  17. Find "sin" (A)/(2) and "cos" (A)/(2) in terms of "tan"( A)/(4).

    Text Solution

    |

  18. If tan theta (cos alpha+ sin beta), then show that one value of "tan" ...

    Text Solution

    |

  19. If sin (pi cot theta)= cos (pi tan theta) and n is an integer, then...

    Text Solution

    |

  20. Prove that the maximum value of (cos alpha(1)) (cos alpha(2))...( cos ...

    Text Solution

    |