Question

In triangle ABC ,write tan A+B/2 in terms of angle C.

Answer 1

Solution:-
Given. A, B and C are three angle of a triangle.
In Δ ABC
∠ A + ∠ B + ∠ C = 180° (Angle sum property)
⇒ ∠ A + ∠ B = π - ∠ C
⇒ (∠ A + ∠ B)/2  = (π - ∠ C)/2
⇒ (∠ A + ∠ B)/2 = π/2 - ∠ C/2
∴ tan {(∠ A + ∠ B)/2}  = tan (π/2 - ∠ C/2)
⇒ tan {(∠ A + ∠ B)/2} = cot C/2.
Answer.

Answer 2

Answer:

Step-by-step explanation:

Hope this will help you