Question

Using the formula ,tan2a=2tana/1-tan²a,find the value of tan 60°,it being given that tan 30°=1/â3

Answer 1

Answer:

Step-by-step explanation:

Tan60° = Tan2(30°)

= 2 Tan30°/ 1 - Tan²30°

= 2/√3 / 1  - (1/√3)²

= 2/√3/2/3 = 2/√3 * 3/2 = √3.

Verification:

Tan60° = Sin60°/Cos60° = √3/2 / 1/2 = √3.