Question

If tan A=3 and tan B=1/2, prove that A-B=pie/4

Answer 1

Step-by-step explanation:

tan ( A- B ) = tanA - tanB/1 + tanAtanB

tan(A-B) = 5/2/5/2

=> tan ( A - B) = 1

=> tan ( A - B) = tan 45°

Degree to radian conversion →

→ tan (A - B) = tan π/4

→ A - B = π/4