In - ABC if 2b - a - c then prove that- 3tanA2-tanc2 - 1-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Determinant

In Δ ABC if...

Question

In $Δ A B C$ if $2 b = a + c$ then prove that.
$3 tan (\frac{A}{2}) \cdot tan (\frac{c}{2}) = 1$ .

Open in App

Solution

Suggest Corrections

Similar questions

Δ A B C

3 tan \frac{A}{2} . tan \frac{C}{2} = 1

a, b, c

Δ A B C

3 tan \frac{A}{2} tan \frac{C}{2} = 1

a, b, c

Δ A B C

(\frac{A}{2}) t a n (\frac{C}{2}) = 1

If A, B and C are the angles of a $Δ A B C,$ prove that $t a n (\frac{C + A}{2}) = c o t \frac{B}{2}$ .

△ A B C

\frac{b - c}{a} = \frac{tan (B / 2) - tan (C / 2)}{tan (B / 2) + tan (C / 2)}

Join BYJU'S Learning Program