Answer:
The period of the parent graphs of sine and cosine is 2 multiplied by pi, which is once around the unit circle. Sometimes in trigonometry, the variable x, not the function, gets multiplied by a constant. This action affects the period of the trig function graph.
For example, f(x) = sin 2x makes the graph repeat itself twice in the same amount of time; in other words, the graph moves twice as fast. Think of it like fast-forwarding a DVD. This figure shows function graphs with various period changes.
Creating period changes on function graphs.
Creating period changes on function graphs.
To find the period of f(x) = sin 2x,
Equation to find the period of a sine function.
and solve for the period. In this case,
The period of a sine function.
Each period of the graph finishes at twice the speed.
You can make the graph of a trig function move faster or slower with different constants:
Step-by-step explanation:
And that is how.
