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Solving Trignometric Equations 6.2

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This guide provides an overview of solving trigonometric equations using algebraic methods. It emphasizes the importance of setting equations to zero, combining like terms, and factoring, similar to quadratic equations. Key techniques include ensuring that common factors do not cancel out, as this can lead to losing potential solutions. An example illustrates these principles, and the guide highlights the necessity of checking solutions by graphing. Master these strategies to tackle trigonometric equations effectively and confidently.

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Solving Trignometric Equations 6.2

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  1. Solving Trignometric Equations6.2 JMerrill, 2009

  2. Solving an algebraic equation

  3. Solving a Trigonometric Equation Using Algebra

  4. Solve Hint: Make the words match Quadratic: Set = 0 Combine like terms Factor—(same as 2x2-x-1)

  5. Solve Round to nearest hundredth Where did these 2 answers come from??? 

  6. Solve

  7. What You CANNOT Do • You cannot divide both sides by a common factor, if the factor cancels out. You will lose a root…

  8. Example Common factor—lost a root No common factor = OK

  9. You Do • Solve Check by graphing!

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