Learn how to factor and solve trigonometric equations. In this trigonometry video, we will guide you through the steps to solve trigonometric equations using factoring and carefully walk through three typical example problems. To solve trigonometric equations by factoring, we will follow a systematic approach. First, we will factor the trigonometric equation and and solve the two factored basic trigonometric equations. We will then isolate the trigonometric functions on one side of the equation and apply an inverse trigonometric function to find the reference angle. Finally, we will determine the solutions based on the quadrants where the angles are located.
By watching this video, you will gain a better understanding of how to factor and solve trigonometric equations and be able to apply these skills to solve similar problems and improve your overall proficiency in trigonometry.
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Timestamps
00:00 Introduction
00:20 Steps for Solving Trig Equations Using Factoring
01:33 Examples with Sine and Cosine
09:41 Example with Tangent and Sine
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Understand The Math provides students and lifelong learners with access to free, straightforward, and engaging mathematics instruction. I’m Cheryl Hile and I’ve recently launched this channel because I’m passionate about ensuring that clear mathematics instruction is available to everyone! I have a Ph.D. in Engineering Science and Applied Mathematics and have over 25 years of teaching experience at the university level. I understand that students encounter challenges when concepts are unclear, they lack the background knowledge necessary to succeed in a course, or they are learning the material for the first time on their own. This channel provides videos that contain clear explanations, step-by-step problem solving strategies, and carefully worked out example problems. A link to free guided notes that students can fill in as they watch the videos and use later to review what they've learned is available in the video descriptions. I encourage you to subscribe to my channel now!
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