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5.3 – Solving Trigonometric Equations

5.3 – Solving Trigonometric Equations. In this section, you will learn to:. Use standard algebraic techniques to solve trigonometric equations Solve trigonometric equations of quadratic type Solve trigonometric equations involving multiple angles

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5.3 – Solving Trigonometric Equations

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  1. 5.3 – Solving Trigonometric Equations

  2. In this section, you will learn 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

  3. Two basic techniques for solving trigonometric equations are factoring and applying known identities. a) Rewrite the equation with a single trigonometric function. b) Remember only to factor after you have set the equation equal to zero.

  4. Collect Like Terms/Take the Square Root:

  5. Collect Like Terms/Take the Square Root: (Solve for extraneous roots.)

  6. Use identities to solve:

  7. Use identities to solve:

  8. Factor to solve:

  9. Factor to solve:

  10. Solving of Multiple Angles:

  11. Homework • Page 376-379 • 35-47 odd, 49-53 odd, 61-71 odd

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