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5.3 Solving Trigonometric Equations

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Presentation on theme: "5.3 Solving Trigonometric Equations"— Presentation transcript:

1 5.3 Solving Trigonometric Equations

2 Solve y cos( + 2nπ) = P 1 x Q π 3 -π
Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

3 Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

4 Example: Solve the Equation
for 1 x y y = - 1 4 Copyright © by Houghton Mifflin Company, Inc. All rights reserved. Example: Solve the Equation

5 Example: Find all solutions using unit circle
Find all solutions of x y π 1 π 6 π x = - x = Copyright © by Houghton Mifflin Company, Inc. All rights reserved. Example: Find all solutions using unit circle

6 Solve the equation for Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

7 Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

8 Find all solutions of Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

9 Find all solutions of Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

10 Solve the equation for Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

11 Solve a trigonometric Equation
Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

12 Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

13 Solve the equation for Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

14 Solve In the interval 0 < x < 2π
Copyright © by Houghton Mifflin Company, Inc. All rights reserved.

15 - Sin-1 Sin-1 Copyright © by Houghton Mifflin Company, Inc. All rights reserved.


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