Section 6.2 Trigonometric Functions: Unit Circle Approach.
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Section 6.2 Trigonometric Functions: Unit Circle Approach
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Transcript of Section 6.2 Trigonometric Functions: Unit Circle Approach.
Section 6.2
Trigonometric Functions:
Unit Circle Approach
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
2 2,
2 2
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Make a second congruent triangle.
Use Pythagorean Theorem to find b.
This triangle is equilateral so all sides are 1. 2a = 1 so a = .
1
2
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Find the exact value of each expression.
3 5 9(a) cos135 (b) tan (c) sin 225 (d) cos (e) sin
4 4 4
2 2 2(a) The point , corresponds to 35 so cos 135
2 2 2
2 2 3(b) The point , corresponds to
2 2 4
23 2so tan 14 2
2
Find the exact value of each expression.
3 5 9(a) cos135 (b) tan (c) sin 225 (d) cos (e) sin
4 4 4
2 2 2(c) The point , corresponds to 225 so sin 225
2 2 2
2 2 5 5 2(d) The point , corresponds to so cos
2 2 4 4 2
2 2 9(e) The point , corresponds to
2 2 4
9 2so sin
4 2
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
4 7Find: (a) cos 150 (b) sin ( 30 ) (c) tan (d) sin
3 6
5 3(a) cos 150 cos
6 2
1(b) sin ( 30 ) sin
6 2
34 2(c) tan 3
132
7 1(d) sin
6 2
Your calculator has buttons for sin, cos, and tan so to find values of the remaining 3 trigonometric functions we use:
CHANGE MODE TO RADIANS
2 24 and 3 so 16 9 5a b r a b
