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Trigonometry Day 3 Trig Functions of Any Angle Learning Target: 1.Given a point on the unit circle, I can find the six Trig ratios 2.Given one Trig ratio,

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Presentation on theme: "Trigonometry Day 3 Trig Functions of Any Angle Learning Target: 1.Given a point on the unit circle, I can find the six Trig ratios 2.Given one Trig ratio,"— Presentation transcript:

1 Trigonometry Day 3 Trig Functions of Any Angle Learning Target: 1.Given a point on the unit circle, I can find the six Trig ratios 2.Given one Trig ratio, I can find the other six ratios

2 Learning Target: Given a point on the unit circle, I can find the six Trig ratios Given one Trig ratio, I can find the other six ratios Warm Up: Explain why these definitions of trigonometric functions of any angle are true, use info from blue box to help you.

3 Welcome Mathematicians Learning Target: -Given a point on the unit circle, I can find the six Trig ratios -Given one Trig ratio, I can find the other six ratios Review your homework, ask questions. Page 290 #17, 19, 47, 49, 51, 53 Page 299 #5-21 odd

4 Practice Evaluating Trig Functions

5 Signs of Trig Functions Quadrant I Quadrant II Quadrant III Quadrant IV

6 Trig Functions of Quadrant Angles

7 Trigonometric Functions Reference Chart Page 315 What patterns do you notice? Add in columns for 180° and 270°

8 Reference Angles Let θ be and angle in standard position. Its reference angle is the acute angle θ’(or β in diagram below) formed by the terminal side of θ and the horizontal axis.

9 Using Reference Angles

10 Learning Target: Given a point on the unit circle, I can find the six Trig ratios Given one Trig ratio, I can find the other six ratios College in the High School

11 Homework Read Pages 312-317 Page 318-319 At least one odd# problem from each section that covers problems 1-63 and 81-85 (This is 10 sections, so 10 problems minimum. If you get one wrong, look at the examples, figure out what went wrong and try another odd problem.) Tutoring: Portable 11 Mon & Thu with Ms. Trapp


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