Solving Trigonometric Equations

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Presentation transcript:

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

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

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

cotxcos2x = 2cotx Question 3 - Factoring

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

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

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

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

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