Question

if tan A = a/a+1 , tan B = 1/2a+1 show that A + B = π/4​

Answer 1

Answer:

Tan A = a / (a + 1) tan B = 1 / ( 2 a + 1)Cot A = 1 + 1/a Cot B ... + 2 a + 1] / [2a² + 2a + 1] = 1 => A + B = π/4 or 5 π/4 : nπ + π/4.