Tangent and Cotangent Graphs Concepts

The video tutorial covers the graphing of tangent and cotangent functions, highlighting their properties and differences. It explains how to use the unit circle to graph these functions, discusses the significance of amplitude, period, and phase shift, and provides examples of graphing both positive and negative tangent and cotangent functions. The tutorial also compares the behavior of tangent and cotangent graphs, emphasizing their unique characteristics and asymptote placements.

What is the amplitude of tangent and cotangent graphs?

• 0

• 1

• 2

• Undefined

What is the standard period of a tangent graph?

• π

• 4π

• 2π

• π/2

How is the increment for tangent graphs calculated?

• 1/12 of the period

• 1/2 of the period

• 1/8 of the period

• 1/4 of the period

Where does the tangent graph have its first asymptote?

• At 3π/2

• At 2π

• At π/2

• At π

What is the behavior of positive tangent graphs?

• Fall left, rise right

• Rise left, fall right

• Fall right, rise left

• Rise right, fall left

What is the starting point for cotangent graphs?

• π/2

• 0

• 2π

• π

How is cotangent defined in terms of sine and cosine?

• Sine over cosine

• Cosine over sine

• Cosine minus sine

• Sine times cosine

What is the behavior of positive cotangent graphs?

• Rise left, fall right

• Fall right, rise left

• Rise right, fall left

• Fall left, rise right

In the example y = tangent(x/2), what is the period?

• π/2

• 2π

• π

• 4π

In the example y = -3 tangent(2x), what is the amplitude?

• Undefined

• 3

• 2

• 1