Section 4.7 - Inverse Trigonometric Functions

Essential Question(s): 

Explain the characteristics of the inverse trigonometric 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.

Inverse Sine Function

• What is the inverse sine function (arcsine)? (Entire page 414)
  
• How do you evaluate arcsine without a calculator? (Ex 1 pg 415)
• How do you evaluate arcsine with a calculator? (Ex 2 pg 415-416)

Inverse Cosine & Tangent Functions

• What is the inverse cosine function (arccosine)? (Page 416)
  
• What is the inverse tangent function (arctangent)? (page 416-417)
• How do you evaluate arccosine and arctangent without a calculator? (Ex 3 pg 417)
• How do you describe end behavior of arctangent? (Ex 4 pg 418)
• What about arccot, arcsec, and arccsc? (sidebar pg 418)

Composing Trigonometric and Inverse Trigonometric Functions

• What equations are always true whenever they are defined? (pg 418-419)
• What equations are only true for x values in the "restricted" domains? (pg 419)
• What happens when you compose different kinds of trig functions? (pg 419)
• How can you compose trig functions with arcsine? (Ex 5 pg 419-420)

Applications of Inverse Trigonometric Functions

• What should you do when an application involves an angle as a dependent variable? (pg 420)
• How can you calculate a viewing window? (Ex 6 pg 420-421)

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

• Read pages 414 - 420.
• Make sure to read the paragraphs between the examples.

Working with Trig Inverses

Inverse Trig Function Overview

Inverse Tri Function Overview #2

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4.7 Review Q's

Go to socrative.com to enter your answers and see how you do.