Transformations and Properties of Trigonometric Functions

The video tutorial covers graphing the trigonometric functions cosecant, secant, tangent, and cotangent. It explains how to use the sine and cosine functions as guides for graphing their reciprocal functions, cosecant and secant, respectively. The tutorial also discusses the unique periods and asymptotes of tangent and cotangent. It provides examples of transformations applied to these functions, demonstrating how to adjust graphs for vertical and horizontal changes.

What is the reciprocal function of sine?

• Cosecant

• Tangent

• Secant

• Cosine

When graphing cosecant, what is the first step?

• Sketch sine

• Sketch tangent

• Sketch cosine

• Sketch cotangent

Where do vertical asymptotes occur for the cosecant function?

• Where sine is 1

• Where cosine is 1

• Where cosine is 0

• Where sine is 0

What is the range of the cosecant function?

• All real numbers

• Between 0 and 2

• Less than -1 and greater than 1

• Between -1 and 1

What is the reciprocal function of cosine?

• Tangent

• Secant

• Cosecant

• Cotangent

Where do vertical asymptotes occur for the secant function?

• Where cotangent is 0

• Where tangent is 0

• Where sine is 0

• Where cosine is 0

What is the period of the tangent function?

• π/2

• π

• 2π

• 2π/3

Where is the tangent function undefined?

• At π/2

• At π

• At 0

• At 3π/2

What is the period of the cotangent function?

• 2π/3

• 2π

• π

• π/2

Where is the cotangent function undefined?

• At 3π/2

• At π

• At π/2

• At 0