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Solve Trig Equations with the Quadratic Formula (Step-by-Step!)

1.2K views· 34 likes· 11:27· Dec 9, 2025

Learn how to solve trigonometric equations using the quadratic formula when factoring isn't an option! This video guides you through two detailed examples, demonstrating how to apply the quadratic formula to solve equations involving tangent and cosine. Discover the power of U-substitution to simplify complex trigonometric equations into a more familiar quadratic form. You'll learn how to use your calculator to find inverse trigonometric values in radians, interpret negative angles, and identify all solutions within a specified range (0 to 2π) or as a general solution. The video also highlights common pitfalls, such as extraneous solutions, ensuring you develop a thorough understanding of solving these types of equations. Perfect for students in pre-calculus or trigonometry looking to expand their equation-solving toolkit! Timestamps: 0:00:00 Introduction to Solving Trig Equations with the Quadratic Formula 0:00:15 Example 1: Solving with Tangent using U-Substitution 0:09:50 Example 2: Solving with Cosine and Identifying Extraneous Solutions ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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