Determine the period of the sine function

The video tutorial explains how to determine the period of a function, emphasizing the importance of understanding the definition of the period as the distance for a graph to repeat itself. It introduces the formula for calculating the period, 2π/b, where b is the coefficient of the linear term in the function. The tutorial then applies this formula to an example, simplifying 2π/420 to π/210, and confirms it as a correct answer choice.

What is the period of a trigonometric function?

• The time it takes for the function to reach its maximum value

• The lowest point on the graph

• The distance required for the graph to repeat itself

• The highest point on the graph

Which of the following is the formula for the period of a sine function?

• a / 2π

• 2π / b

• b / 2π

• 2π / a

In the formula a * sin(BX - C), what does B represent?

• The phase shift of the function

• The vertical shift of the function

• The amplitude of the function

• The coefficient that affects the period

How can the expression 2π / 420 be simplified?

• 2π / 210

• π / 210

• 2π / 105

• π / 420

Which answer choice corresponds to the simplified period π / 210?

• Choice A

• Choice B

• Choice C

• Choice D