Session 7: Derivatives of Sine and Cosine

OCW Scholar

Overview

The sine and cosine functions are used to describe periodic phenomena such as sound, temperature and tides. Trying to differentiate these functions leaves us with two limits to investigate further.

Lecture Video and Notes

Video Excerpts

Flash and JavaScript are required for this feature.

» Clip 1: Derivative of sin(x), Algebraic Proof (6 min)
» Accompanying Notes (PDF)

From Lecture 3 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Derivative of cos(x) (7 min)
» Accompanying Notes (PDF)

From Lecture 3 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

» iTunes U
» Internet Archive

Recitation Video

Derivatives of Sine and Cosine

Flash and JavaScript are required for this feature.

Download this video:
» iTunes U (MP4 - 18MB)
» Internet Archive (MP4 - 18MB)

Worked Example

Geometric Derivatives of Sine and Cosine

Use the mathlet below to complete the worked example.

Mathlet

Creating the Derivative

« Previous | Next »

MIT OpenCourseWare makes the materials used in the teaching of almost all of MIT's subjects available on the Web, free of charge. With more than 2,000 courses available, OCW is delivering on the promise of open sharing of knowledge.

Your use of the MIT OpenCourseWare site and materials is subject to our Creative Commons License and other terms of use.

Find courses by:

Collections

Cross-Disciplinary Topic Lists

Translated Courses

Session 7: Derivatives of Sine and Cosine

Overview

Lecture Video and Notes

Video Excerpts

Recitation Video

Derivatives of Sine and Cosine

Worked Example

Mathlet

Courses

About

Donate

Featured Sites

Tools

About MIT OpenCourseWare

Our Corporate Supporters