Question

17. Using the formula, tan 2A = 2tan A., find the value of tan 60º it
ala, tani 1 - tan’A'
being given that tan 30º =​

Answer 1

Step-by-step explanation:

tan(2*30°) = 2tan30° / 1 - tan²30°

tan60° = 2(1/√3) / 1 - 1/3

= (2/√3)/(2/3)

= 3/√3 = √3

Answer 2

Step-by-step explanation:

tan60=tan(2×30). here A=30°

this is of the form tan2A

tan2A= 2tanA/1-tan²A

=2.1/√3/1-1/3

2/√3/2/3

2/√3×3/2

3/√3

√3

hence proved