Question

How do you find the period of `y= tan 5 (theta)`?

Answer 1

The period is `pi/5`

Explanation:

The base function: `f(x) = tanx` has period `pi`.

Multiplying by `5` before evaluating the tangent has the effect of compressing the period by dividing by `5`.

So the period of `y = tan(5theta)` is `pi/5`.

Similarity:
This case is similar to the period for `y = sin(3theta)`.
For the sine, the basic period is `2pi`, so the period of `y = sin(3theta)`.is `(2pi)/3`