2After this lesson, you should be able to: work in radian measurefind reference anglesuse and recreate the unit circle to find trig values of special anglesrecognize and sketch the graphs of sine, cosine and tangentuse the Pythagorean trig identities and reciprocal identities to simplify trig expressionssolve basic trig equations
3Angles initial ray on x-axis terminal rayStandard position of an angle(0, 0)xacute angles angles between 0 and /2 radiansobtuse angles angles between /2 and radiansco-terminal angles angles that share the same terminal rayEx: /2 and -3/2
12Trigonometric Identities & Formulas Note: Those written in blue should be memorized.
13Graph of SineGraph the function y = sin x over the interval [-2, 2]. State its amplitude, period,domain and range.xy
14Graph of CosineGraph the function y = cos x over the interval [-2, 2]. State its amplitude, period,domain and range.xy
15Graph of TangentGraph the function y = tan x over the interval [-2, 2]. State its period,domain and range.xy
16Practice with Conversions Example: Convert 850° to exact radian measure.Example: Convert -34/15 to degree measure.
17Practice with Trig Functions Example: Given a point on the terminal side of in standard position, find the exact value of the six trig. functions of .P (-4, -3)
18Practice with Trig Functions Example: Given the quadrant and one trigonometric function value of in standard position, find the exact value of the other five trig. functions.A. Quadrant I; tan = 5
19Practice with Trig Functions B. Quadrant III; cot = 1
20Solving Basic Trig Equations Example 1 Solve the equation without using a calculator.
21Solving Basic Trig Equations Example 2 Solve the equation without using a calculator.
22Homework Exercises for Appendix D.3: #1-7 all, 11-19 all, 27-35 odd Appendix D.3 can be found online at the textbook site and also on the CD provided with your text.