Question

If a b and c are the interior angles of a triangle abc than prove that tan (a+b/2) = c/2

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

⇒ (A + B + C) = 180°

⇒ (A + B) = 180˚ – C

⇒ (A + B)/2 = 90˚ – C/2

• Taking tan on both sides, we get

↠ tan (A + B)/2 = tan(90˚ - C/2)

= cot C/2

Hence proved.