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.

What is the periodicity of trigonometric graphs like sine, cosine, and tangent?

• 720 degrees

• 180 degrees

• 360 degrees

• 90 degrees

How can the symmetry of trigonometric graphs be used?

• To solve for multiple angle solutions

• To determine the period

• To find the maximum value

• To identify the amplitude

Where does the sine graph intersect the x-axis?

• 60 and 300 degrees

• 45 and 225 degrees

• 0, 180, and 360 degrees

• 90 and 270 degrees

What is the starting point of the cosine graph?

• 0.5

• -1

• 1

• 0

What are the asymptotes of the tangent graph?

• 60 and 300 degrees

• 45 and 225 degrees

• 0 and 180 degrees

• 90 and 270 degrees