Trigonometric Equations: Factoring & General Solutions

Learn how to solve trigonometric equations using factoring in this comprehensive tutorial! This video walks you through three examples, starting with a basic trinomial and progressing to more challenging problems involving Pythagorean identities. Discover how to factor trigonometric expressions similar to polynomials, make substitutions to simplify equations, and use the unit circle to find solutions. You'll also learn how to handle cases where tangent is not a standard unit circle value, requiring a calculator and understanding of reference angles. Finally, master writing both specific solutions (0 to 2π) and general solutions using 'n' for multiple rotations. Perfect for students in pre-calculus or trigonometry looking to build strong equation-solving skills! Timestamps: 0:00:00 Introduction to Solving Trig Equations by Factoring 0:00:15 Example 1: Factoring a Trinomial with Sine 0:05:40 Example 2: Using Pythagorean Identities with Secant and Tangent 0:13:00 Example 3: Factoring with Cosecant and Reciprocal Identities ➡️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