Trigonometric Equations in Quadratic Form | Learn By Examples

Learn how to solve quadratic trigonometric equations. In this trigonometry video, we guide you through the steps to solve equations with trigonometric functions written in quadratic form and carefully walk through three example problems.

To solve quadratic trigonometric equations, we follow a systematic approach. First, we factor the quadratic and solve the two linear equations. Then, we will 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 solve quadratic trigonometric equations and be able to apply these skills to solve similar problems and improve your overall proficiency in trigonometry.

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*Trigonometry Videos*
_Basic Trigonometric Concepts:_
_Right Triangle Trigonometry:_
_Trigonometric Functions:_
_Graphs of Trigonometric Functions:_
_Inverse Trigonometric Functions:_
_Trigonometric Identities:_
_Trigonometric Equations:_
_Additional Topics in Trigonometry:_

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*Precalculus Part 2 Playlist*

*Timestamps*
00:00 Introduction
00:18 Solution Steps
02:22 Example with Sine Functions
06:15 Example with Cosine Functions
09:32 Quartic Example with Tangent Functions

*More About Understand The Math*
Understand The Math provides students and lifelong learners with access to free, straightforward, and engaging mathematics instruction. I’m Cheryl Hile, the founder of Understand The Math, and I’m passionate about ensuring that accurate and engaging 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. This channel provides videos that contain clear explanations, step-by-step problem solving strategies, and carefully worked out example problems. In the video descriptions, you'll find a link to free guided notes. Students can use these notes to highlight concepts and fill in answers to example problems while watching the videos, and later, they can review what they've learned.

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