Question

(g) If A = 60° and B = 30° then prove that tan (A - B) =
tan A-tan B
1 + tan A. tan B​

Answer 1

Answer:

1/√3 = 1/√3

Step-by-step explanation:

tan (A – B) = (tan A – tan B)/(1 + tan A.tan B)

⇒ tan (60˚ – 30˚) = (tan60˚ – tan 30˚)/(1 + tan 60˚. tan 30˚)

⇒ tan 30˚ = (√3 – 1/√3)/1 + √3 × 1/√3

⇒ 1/√3 = 2√3/2

⇒1/√3 = 1/√3