Calculus on Demand at Dartmouth College Lecture 2 | Index | Lecture 4 Lecture 3

## Resources

Math 3 Course Home Page
Math 3 Course Syllabus
Practice Exams
Textbook Home Page
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# Contents

In this lecture we review (or introduce) those aspects of the trigonometric functions that we will need for the study of calculus. The trig functions are particularly useful for modeling periodic behavior.

### Quick Question

What is the trig identity for sin(x − π/2) illustrated in the following graph?

### Outline

Outline for Trigonometric Functions

### Textbook

Trigonometric Functions

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### Quiz

Trigonometric Functions Quiz

### Examples

• Evaluate a quotient of two trig expressions exactly
• A particle moving back and forth on the x axis has its position given as a function of time t. Where is the particle when t = 0 and how long does it take to return to this position?
• Find all solutions to the equation 1 + 2sin(x) − (sin(x))2 = (cos(x))2 − 1

### Applets

• Definitions of sin(x) and cos(x)
• Trigonometric Identities

### Videos

• Tricks to translate and scale sin(x)
• Graph cos(5(x – π/2))
• Graph 3sin(2x)
• Basic trig

Lecture 2 | Index | Lecture 4