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The following material will help you review the important points from Trigonometry that you will need to recall for use in Calculus.

Angles can be measured positively (counterclockwise) or negatively (clockwise) using degrees or radians.

In calculus angles are measured in ** RADIANS** rather than
degrees. If you use your calculator at any time you want to make sure that
the calculator is in

where r is the measure of an angle in radians and d is the measure of an
angle in degrees.

*Check your Understanding:*
(Remember to write down your answers to these questions.)

1. Let (-3,4) be a point on a circle, as pictured below. Find
the Sin, Cos, Tan, Cot, Sec, and Csc of the red angle

There are key trigonometric values which should be memorized. These correspond to the trigonometric functions of the angles defined above. A new chart has been constructed using the unit circle.

Note that some of the function values were positive and
others negative and these signs change based on the quadrant. Starting in
the first quadrant notice the phrase ** All Students Take
Calculus **might help you remember where the sine, tangent, and
cosine functions are positive. The figure below indicates where the basic
three functions and their reciprocals are positive.

Sin + | All + |

Tan + | Cos+ |

*Check your Understanding: *(Remember
to write down the answers to these questions)

1. Make a chart for the sine, cosine, and tangent functions for .

2. Make a chart for the sine, cosine, and tangent functions for the other three quadrants for the matching angles used in question 1.

Converting Between Radian and Degree Measure

Definition of Six Trigonometric Functions

Section 15 |

This page was last modified on 03/21/16

© Rahn, 2000