Reciprocal Trigonometric Functions and Graphs

Mr. Bean introduces reciprocal trigonometric graphs, focusing on secant, cosecant, and cotangent. He explains how these graphs relate to their original functions: cosine, sine, and tangent. The lesson includes detailed steps for graphing these functions, identifying vertical asymptotes, and understanding their periods and amplitudes. The video concludes with practice examples to reinforce the concepts.

What is the main topic of the lesson introduced by Mr. Bean?

• Basic trigonometry

• Graph transformations

• Reciprocal trig graphs

• Reciprocal structures

Which trigonometric function starts at the origin and goes up?

• Secant

• Cosine

• Sine

• Tangent

What is the reciprocal of the cosine function?

• Cosecant

• Tangent

• Secant

• Sine

When graphing secant, what creates a vertical asymptote?

• Zeros of cosine

• Minimum points

• Maximum points

• Zeros of sine

What is the reciprocal of the sine function?

• Cosecant

• Secant

• Cotangent

• Tangent

Where do vertical asymptotes occur in the cosecant graph?

• At maximum points

• At zeros of cosine

• At minimum points

• At zeros of sine

What is the period of the cotangent function?

• 2π

• π

• 2π/3

• π/2

In the cotangent graph, where do vertical asymptotes occur?

• At zeros of sine

• At maximum points

• At zeros of tangent

• At minimum points

What is the first step in graphing a reciprocal trig function?

• Determine the period

• Plot minimum points

• Plot maximum points

• Identify vertical asymptotes