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Section 7.5 More Trigonometric Equations

Chapter 7 – Analytic Trigonometry. Section 7.5 More Trigonometric Equations. Solving Trigonometric Equations.

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Section 7.5 More Trigonometric Equations

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  1. Chapter 7 – Analytic Trigonometry Section 7.5 More Trigonometric Equations 7.5 - More Trigonometric Equations

  2. Solving Trigonometric Equations • In the next few examples, we will use trigonometric identities to express a trigonometric equation in a form in which it can be factored. Then, we will factor and solve as we did last class. 7.5 - More Trigonometric Equations

  3. Examples – pg. 528 • Solve the given equation. 7.5 - More Trigonometric Equations

  4. Solving Trigonometric Equations • In the next few examples, we will solve trigonometric equations that involve functions of multiple angles. We first solve for the multiple of the angle, then divide to solve for the angle. 7.5 - More Trigonometric Equations

  5. Examples – pg. 528 • An equation is given. (a) Find all solutions of the equation. (b) Find all solutions in the interval [0, 2). 7.5 - More Trigonometric Equations

  6. Examples – pg. 529 • Use an Addition or Subtraction Formula to simplify the equation. Then find all solutions in the interval [0, 2). 7.5 - More Trigonometric Equations

  7. Examples – pg. 529 • Use a Double or Half-Angle Formula to solve the equation in the interval [0, 2). 7.5 - More Trigonometric Equations

  8. Examples – pg. 529 • Solve the equation by first using a Sum-to-Product Formula. 7.5 - More Trigonometric Equations

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