Question

Fundamental period of tan 3x is​

Answer 1

Answer:

period of the tangent function is π . Therefore, the period of tan(3x) is π3 ( 3x will increase by π units anytime x increases by π3 units). This means the period of y=2tan(3x) is π3 as well.

hope it helps you ✨

Answer 2

Answer:

The fundamental period of tan 3x = $\pi$/3

Step-by-step explanation:

Given problem

Fundamental period of tan 3x is​ = ?

⇒ If function f(x) = tan(xs), where s > 0, then the graph of the function makes complete cycles between −π/2, and π/2 and the  fundamental period of the function f(x) is  $\pi$/ s  

⇒ let f(x) = tan 3x            

          xs  = 3x ⇒ s = 3            

Fundamental period of the tan 3x = $\pi$/ 3