Question

Find tan(2x) if x=pi/3​

Answer 1

To calculate tan(2x) with x=pi/3, use the tangent double angle formula, resulting in tan(2x) = -√3.

Step-by-step explanation:

To find tan(2x) when x=pi/3, you must use the double angle formula for tangent, which is tan(2x) = 2tan(x) / (1 - tan2(x)). First, find tan(pi/3), which is the tangent of the given angle x. Since the tangent of pi/3 is √3, we then plug this value into the double angle formula:

tan(2x) = 2tan(x) / (1 - tan2(x))
tan(2x) = 2(√3) / (1 - (√3)2)
tan(2x) = 2√3 / (1 - 3)
tan(2x) = 2√3 / (-2)
tan(2x) = -√3

Answer 2

Wouldn't it be something along the lines of

0.03657034937430407

I used a calculator btw, but rounded for pi with 3.14159.

Step-by-step explanation: