Question

Given A= 60 degree and B= 30 degree, prove that:
Tan(A-B) = TanA - TanB / 1+ TanA . TanB.

Answer 1

HERE IS YOUR ANSWER.




HOPE IT MAY HELP YOU

Answer 2

A = 60 degree
B = 30 degree
from lhs
tan(A - B) = tan(60 - 30° ) = tan30° = 1/√3

from Rhs

tanA - tanB / 1 + tanA . tanB

tan60° - tan30 / 1 + tan60 tan30

√3 - 1/√3 / 1 + √3. 1/√3

3 - 1 / √3 / 2

2/ √3 / 2 = 1/√3

LHS = RHS ..so prooved