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Solving Trigonometric Equations

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Presentation on theme: "Solving Trigonometric Equations"— Presentation transcript:

1 Solving Trigonometric Equations
Goal is to find angle values that satisfy the given equation. Possible Methods: Collecting Like Terms Extracting Square Roots Factoring Quadratic Rewriting with a Single Trigonometric Function Squaring and Converting to a Basic Quadratic Functions of Multiple Angles Using Reciprocal Functions or Identities to Solve Solving Trigonometric Equations

2 Question 1 – Collecting Like Terms
sinx + √2 = -sinx Question 1 – Collecting Like Terms

3 Question 2 – Extracting Square Roots
3tan2x – 1 = 0 Question 2 – Extracting Square Roots

4 cotxcos2x = 2cotx Question 3 - Factoring

5 2sin2x – sinx – 1 = 0 Question 4 - Quadratic

6 Question 5 – Rewriting with a Single Trigonometric Function
2sin2x + 3cosx – 3 = 0 Question 5 – Rewriting with a Single Trigonometric Function

7 Question 6 – Squaring and Converting to a Basic Quadtratic
cosx + 1 = sinx [0,2∏] Question 6 – Squaring and Converting to a Basic Quadtratic

8 Question 7 – Functions of Multiple Angles
2cos(3t) – 1 = 0 Question 7 – Functions of Multiple Angles

9 Question 8 – Using Reciprocal Functions or Identities to Solve
sec2x – 2tanx = 4 Question 8 – Using Reciprocal Functions or Identities to Solve


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