What is the period of the function y=3 (tan 6x) ?

With all trig functions, the period can be calculated with the equation PB = 2π.

P = period

B = anything in the tangent part of the equation except the x. (in this case, it would be 6)

When we plug in 6 for B, we get 6P = 2π.

Divide both sides by 6 and you get P = 2π / 6

OR

P = π/3