Pre-AP Pre-Calculus Chapter 4, Section 3 Trigonometry Extended: The Circular Functions

Vocab you need to know Initial side: Terminal side: Measure of the angle: Positive angles: Negative angles: Coterminal angles:

Finding Coterminal Angles Find and draw a positive angle and a negative angle that are coterminal with the given angle: 30°

Finding Coterminal Angles Find and draw a positive angle and a negative angle that are coterminal with the given angle: - 150°

Finding Coterminal Angles

Investigating First Quadrant Trigonometry

Evaluating Trig Functions Determined by a Point in Q1 Let θ be the acute angle in standard position whose terminal side contains the point (5, 3). Find the six trigonometric functions of θ.

Evaluating Trig Functions determined by a Point NOT in Q1 Let θ be the acute angle in standard position whose terminal side contains the point (-5, 3). Find the six trigonometric functions of θ.

Evaluating the Trig Functions Find all six trig functions of 315°. (use a reference angle)

-210° Draw the following angles and determine their reference angle. Find the six trig functions of the given angle.

Find each of the following, if it exists. If the value is undefined, write “undefined”

Unit Circle Unit Circle

Group work

Ch. 4.3 Homework Pg. 381 – 382, #’s: 2, 4, 10, 17, 18, 22, 26, 29, 30, 37, 44, 45, 63, 64, total problems Gray book: Pg. 347