Question

If A
= 60° and B = 30°, then pro
that tan (A-B) = tanA - tanbove
1+tanAtanB
​

Answer 1

Answer:

First, substitute the values of A and B:

tan(60°- 30°) = [tan(60°) - tan(30°)]/1 + tan30tan60

tan30 = [√3 - 1/√3]/[1 + √3•1/√3]

1/√3 = [(3-1)/√3]/2

1/√3 = 2/2√3

1/√3 = 1/√3

L.H.S = R.H.S

hence proved.