Solving Trigonometric Equations

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Presentation transcript:

Solving Trigonometric Equations Section 5.3 Solving Trigonometric Equations

Objective By following instructions students will be able to: use standard algebraic techniques to solve trigonometric equations. solve trigonometric equations of quadratic type. solve trigonometric equations involving multiple angles. use inverse trigonometric functions to solve trigonometric equations.

Example 1: Solving a Trigonometric Equation.

Example 2: Collecting Like Terms Find all solutions of in the interval .

Example 3: Extracting Square Roots Solve .

Example 4: Factoring Solve .

Example 5: Factoring an Equation of Quadratic Type Find all solutions of in the interval .

Example 6: Rewriting with a Single Trig Function Solve .

Example 7: Squaring and Converting to Quadratic Type Find all the solutions of in the interval .

Example 8: Functions of Multiple Angles Find all solutions of .

Example 9: Functions of Multiple Angles Find all solutions of .

Example 10: Using Inverse Functions Find all solutions of .

Revisit Objective Did we… use standard algebraic techniques to solve trigonometric equations? solve trigonometric equations of quadratic type? solve trigonometric equations involving multiple angles? use inverse trigonometric functions to solve trigonometric equations?

Homework Pg 400 # 1-6 ALL, 11-41 ODD