Use a double angle formula to rewrite the expression. 8tanx/1-tan^2x

Question

this involves the double angle formula.

Answer 1

8 [tan x / (1 - tan² x]

8 tan 2x

Answer 2

The double angle formula for tangent is:

tan(2x) = 2tanx/(1-tan²x)

The original problem can be rewritten as:

4(2tanx)/(1-tan²x)

Substitute the tangent double angle formula and it simplifies to:

4tan(2x)