How do we find the period of our trigonometric graphs sine and cosine

The video tutorial explains the concept of the period in trigonometric graphs, focusing on sine and cosine functions. It uses the unit circle to demonstrate how these graphs repeat their values over a cycle. The tutorial covers the concept of periodicity, coterminal angles, and how to graph the cosine function. It also explains how to calculate the period of sine and cosine functions, especially when transformations are applied, by using the formula 2π divided by the coefficient B in the function's equation.

What is the period of a basic sine or cosine graph?

• π/2

• 4π

• 2π

• π

How do coterminal angles relate to the period of trigonometric functions?

• They do not affect the period.

• They have different sine and cosine values.

• They result in the same sine and cosine values.

• They occur at different points on the graph.

What is the period of the cosine function from 0 to 2π?

• The graph completes one full cycle.

• The graph completes two cycles.

• The graph completes half a cycle.

• The graph does not repeat.

How does the value of B in the function Y = A sin(BX - C) + D affect the period?

• It multiplies the period by B.

• It does not affect the period.

• It adds B to the period.

• It divides the period by B.

If B = 4 in the function Y = sin(4X), what is the new period?

• 4π

• π/2

• π

• 2π

For the function Y = cos(X/3), what is the period?

• 6π

• 2π

• 3π

• π

What happens to the graph of a trigonometric function when the period is increased?

• It compresses vertically.

• It stretches vertically.

• It compresses horizontally.

• It stretches horizontally.