Home
Class 11
MATHS
In DeltaABC, prove that: cot\ A/2+cot\ ...

In `DeltaABC`, prove that: `cot\ A/2+cot\ B/2+cot\ C/2=((a+b+c)^(2))/(4Delta)`

Text Solution

AI Generated Solution

To prove that in triangle \( \Delta ABC \): \[ \cot \frac{A}{2} + \cot \frac{B}{2} + \cot \frac{C}{2} = \frac{(a+b+c)^2}{4\Delta} \] where \( \Delta \) is the area of the triangle, we will follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3A|12 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3B|24 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

In any DeltaABC , prove that cot (A/2) + cot (B/2) + cot (C/2) = (a+b+c)/(b+c-a) cot (A/2)

In a DeltaABC, prove that: 2r le (a cot A+ b cot B+ c cot C)/(3)leR

Prove that tan A - cot A =-2 cot2A

Prove that: cot2A + tanA= cotA - cot 2A

In DeltaABC , prove that: (a+b+c).(tan(A/2)+tan(B/2))=2c cot(C/2)

In any DeltaABC , prove that (a+b-c) cot (B/2) = (a-b+c) cot (C/2)

In any DeltaABC, sum (b - c) cot A/2 =

If A+B+C=pi , prove that: cot^2 A+cot^2 B + cot^2 C ge 1

In a "DeltaA B C prove that tan(("A"+"B")/2)=cot("C"/2)

In any Delta ABC, prove the following : r_1=rcot(B/2)cot(C/2)