Section 4.5 - Graphs of Tangent, Cotangent, Secant and Cosecant

Essential Question(s): 

Explain the similarities between cotangent, secant, and cosecant with their respective reciprocal functions.

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Follow these three steps to complete this "flip" lesson.

STEP 1: Preparation 
Title your spiral with the heading above and copy the essential question(s).

STEP 2: Vocabulary & Examples 
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your cornell notes.

The Tangent Function

• What are some characteristics unique to the tangent function? (bottom pg 396) 
• How do the constants a,b,h, and k influence behavior of tangent? (top pg 397)
• How can you describe the graph of a tangent function? (Ex 1 pg 397)

The Cotangent Function

• What are the characteristics of the cotangent function? (bottom pg 397)
  
• How can you describe the graph of a cotangent function? (Ex 2 pg 398)

The Secant Function

• What are the characteristics of the secant function? (pg 398)
  
• How can you solve a trig equation algebraically? (Ex 3 pg 399)

The Cosecant Function

• What are the characteristics of the cosecant function? (pg 399)
  
• How can you solve a trig equation graphically? (Ex 4 pg 400)
• What is a summary of the basic trig functions? (pg 400)

STEP 3: Reading
Read the following page(s) and take any extra notes as needed.

• Read pages 396 - 400.
• Make sure to read the paragraphs between the examples.

Sine & Cosine Graphs

Tangent Graphs

Cot, Sec, Csc Graphs

Cot, Sec, Csc Graphs #2

Practice #2

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