Tips To Graph Trigonometric Functions

This video tutorial explains how to graph trigonometric functions using the unit circle. It covers the sine, cosine, tangent, cotangent, cosecant, and secant functions, detailing how to plot them quickly by understanding their relationships with the unit circle. The video emphasizes the importance of key points on the unit circle and introduces the concept of asymptotes for certain functions. It also highlights the repetitive nature of these graphs and prepares viewers for future lessons on transformations.

What are the coordinates of the points where the unit circle crosses the x and y axes?

• (1, 0), (0, 1), (-1, 0), (0, -1)

• (1, 1), (-1, -1), (0, 0), (0, 1)

• (2, 0), (0, 2), (-2, 0), (0, -2)

• (1, 1), (1, -1), (-1, 1), (-1, -1)

When graphing y = sin(θ), what is the y-coordinate at θ = π/2?

• 0

• 1

• Undefined

• -1

What is the x-coordinate of the cosine function at θ = π?

• -1

• 0

• 1

• Undefined

How does the graph of the cosine function compare to the sine function?

• It is identical to the sine function.

• It is a reflection of the sine function.

• It is a shifted version of the sine function.

• It is the inverse of the sine function.

What is the ratio used to define the tangent function on the unit circle?

• 1/y

• 1/x

• y/x

• x/y

What happens to the graph of the tangent function at θ = π/2?

• It reaches a maximum.

• It reaches a minimum.

• It crosses the x-axis.

• It becomes undefined.

Which trigonometric function is the reciprocal of sine?

• Cosecant

• Secant

• Cotangent

• Tangent