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所在平台: Udemy |
课程主页: https://www.udemy.com/course/mastering-trigonometry-basics-to-real-world-applications/
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**课程名称：*初等三角函数*（Trigonometry Complete Course: From Zero to Hero）** **课程概述：** 本课程提供一个全面、循序渐进的三角函数学习指南，涵盖从基础概念到高级解题技巧的所有内容。无论您是备考学生、有志工程师，还是希望提升数学技能的专业人士，本课程都将帮助您深入理解三角函数及其在现实世界中的应用。 **学习内容：** * **单元一：三角形与圆** * 角度 * 直角三角形三角函数 * 正弦定理 * 余弦定理 * 圆上的点 * 其他三角函数 * **单元二：基础三角恒等式** * 恒等式导论 * 正弦和余弦函数图像 * 正切、余切、正割、余割函数图像 * 反三角函数 * 解三角方程 * **单元三：更多三角恒等式** * 用恒等式解三角方程 * 推导和应用加法、减法、积化和差、和化积恒等式 * 推导和应用倍角和半角恒等式 * 回顾三角方程和三角恒等式证明 * **单元四：其他高等数学预备主题** * 极坐标 * 复数的极形式 * 棣莫弗定理 * 数列 * 级数 * 等差数列 * 等比数列 * 数学归纳法 **课程适合人群：** * 希望巩固三角函数知识的高中生和大学生 * 在物理、工程和数学领域应用三角函数的STEM学生和专业人士 * 寻求结构化教学方法的教育工作者和辅导员 * 任何希望提高解题能力和数学推理能力的人 **为何选择本课程：** * 全面覆盖从基础到应用的各项关键三角函数概念。 * 提供分步讲解，辅以详细的示例和解题策略。 * 包含现实世界应用案例，帮助理论知识与实际应用相结合。 * 课程清晰、结构化，适合初学者和希望精进技能的学习者。 **学习目标：** 完成课程后，您将对三角函数建立扎实的理解，并能够有效地将其原理应用于学术和职业实践中。 **授课教师：** 著名教师 Dr. Tyler L. Wallace
A Complete Step-by-Step Guide to Understanding and Applying TrigonometryThis course provides a comprehensive and structured approach to mastering trigonometry, covering everything from fundamental concepts to advanced problem-solving techniques. Whether you are a student preparing for exams, an aspiring engineer, or a professional looking to refine your mathematical skills, this course will help you develop a deep understanding of trigonometry and its real-world applications.What You'll Learn:Unit 1: Triangles and Circles· 5.1 Angles· 5.2 Right Triangle Trigonometry· 5.3a Law of Sines· 5.3b Law of Cosines· 5.4 Points on a Circle· 5.5a Other Trig FunctionsUnit 2: Foundational Trig Identities· 5.5b Introduction to Identities· 5.6a Graph of Sine and Cosine· 5.6b Graph of tan, cot, sec, csc· 5.7 Inverse Trig Functions· 6.1 Solve Trig Equations· 6.2 Modeling with Trig FunctionsUnit 3: More Trig Identities· 6.3 Solving Trig Equations with Identities· 6.4a.i Deriving Addition, Subtraction, Product to Sum, and Sum to Product Identities· 6.4a.ii Addition, Subtraction, Product to Sum, and Sum to Product Identities· 6.4b Using Identities· 6.5.i Deriving Double and Half Angle Identities· 6.5.ii Double and Half Angle Identities· 6.6a Review Trig Equations· 6.6b Review Trig ProofsUnit 4: Other PreCalc Topics· 7.1 Polar Coordinates· 7.2 Polar Form of Complex Numbers· 7.3 DeMoivre's Theorem· 8.1 Sequences· 8.2 Series· 8.3 Arithmetic Series· 8.4 Geometric Series· 8.5 InductionWho is This Course For?High school and college students looking to strengthen their understanding of trigonometrySTEM students and professionals applying trigonometry in physics, engineering, and mathematicsEducators and tutors seeking a structured approach to teaching trigonometryAnyone interested in improving their problem-solving skills and mathematical reasoningWhy Take This Course?Comprehensive coverage of all key trigonometry concepts, from fundamentals to applicationsStep-by-step explanations with detailed examples and problem-solving strategiesReal-world applications to help connect theoretical knowledge with practical use casesClear, structured lessons designed for both beginners and those looking to refine their skillsBy the end of this course, you will have a strong foundation in trigonometry and the ability to apply its principles effectively in academic and professional settings. This course is taught by renouned instructor Dr. Tyler L. Wallace.
