Question

A particular sound wave can be graphed using the function y= -1sin 5x. Find the period of the function

Answer 1

The period of a sine function of the form y = a sin bx is given by:

period = (2π) / |b|

In this case, the function is y = -1 sin 5x, which can be rewritten as y = -sin(5x). So, we can see that b = 5.

Substituting b = 5 into the formula, we get:

period = (2π) / |5|

period = π / 5

Therefore, the period of the function is π/5.