1.5 Trigonometric Functions

By the end of your studying, you should know:
Onscreen applet instructions: The initial value of the angle is set to 1 (radian) in order to give a picture that is meaningful before there is any movement of the slider. The initial position of the slider is at angle 0, however, so that the graphs start at zero.
ExamplesEvaluate the following exactly:
A particle moving back and forth on the x axis has its position given as a function of time t as follows:
Find all solutions to the following equation:
AppletsDefinitions of sin(x) and cos(x)Trigonometric Identities
VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 1.5 Trigonometric Functions (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications
History of Trig

Interesting ApplicationDo you see trig at work?

1.4 Defining New Functions from Old  Table of Contents  1.6 Exponential and Logarithm Functions 
Software requirements: For best results viewing and interacting with this page, get the free software listed here.
Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel