Trigonometric Graphs: Understanding the Shapes and Symmetry

The video tutorial explains the characteristics of trigonometric graphs: sine, cosine, and tangent. It highlights their periodic nature, repeating every 360 degrees, and discusses how symmetry can be used to find multiple solutions for trigonometric equations. The sine graph is described with its x-axis intercepts and turning points, while the cosine graph is noted for its different starting point and intercepts. The tangent graph is unique with its asymptotes at 90 and 270 degrees, indicating points of infinite rise. Understanding these graphs' shapes and symmetries is crucial for solving trigonometric problems.

Describe the key characteristics of the sine graph.

What are the asymptotes in the tangent graph, and why are they important?