Trigonometric Transformations and Graphs: Finding Periods and Defining Symmetries

The video tutorial delves into trigonometric transformations, focusing on the periodic nature of sine, cosine, and tangent graphs. It explains how to find the period of these graphs and demonstrates transformations using examples. The tutorial also explores the symmetries in trigonometric graphs, providing insights into how transformations affect their appearance.

What is the significance of the unit circle in trigonometric transformations?

Explain how to find the period of a trigonometric graph.

What is the period of the sine graph?

Describe the order of transformations when modifying a trigonometric graph.

What transformations are applied to the graph of y = 3 sine x - 45 degrees?

How does the graph of y = tan(-2x + 1/2) differ from y = tan x?

Discuss the symmetry properties of sine, cosine, and tangent functions.