Chapter 7 analytic trigonometry
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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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Chapter 7 analytic trigonometry

Chapter 7 – Analytic Trigonometry

Section 7.5 More Trigonometric Equations

7.5 - More Trigonometric Equations


Solving trigonometric equations

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


Examples pg 528

Examples – pg. 528

  • Solve the given equation.

7.5 - More Trigonometric Equations


Solving trigonometric equations1

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


Examples pg 5281

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


Examples pg 529

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


Examples pg 5291

Examples – pg. 529

  • Use a Double or Half-Angle Formula to solve the equation in the interval [0, 2).

7.5 - More Trigonometric Equations


Examples pg 5292

Examples – pg. 529

  • Solve the equation by first using a Sum-to-Product Formula.

7.5 - More Trigonometric Equations


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