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所在平台: Udemy |
课程主页: https://www.udemy.com/course/inverse-trig-functions-how-to-find-exact-values/
课程评论：没有评论
课程名称：成为逆三角函数的专家 课程概述：本课程深入讲解六种逆三角函数的评估，这是大学预微积分三角学的一部分。完成本课程后，您将全面了解六种逆三角函数的图形，并能够识别它们的定义域和范围，找到确切值并代数地找到三角函数的逆。 课程内容： 1. 如何绘制反正弦图，并识别其定义域和范围；如何使用单位圆找到反正弦的确切值。 2. 如何绘制反余弦图，并识别其定义域和范围；如何使用单位圆找到反余弦的确切值。 3. 如何绘制反正切图，并识别其定义域和范围；如何使用单位圆找到反正切的确切值。 4. 如何绘制反余切图，并识别其定义域和范围；如何使用单位圆找到反余切的确切值。 5. 如何绘制反正割图，并识别其定义域和范围；如何使用单位圆找到反正割的确切值。 6. 如何绘制反余割图，并识别其定义域和范围；如何使用单位圆找到反余割的确切值。 7. 如何使用单位圆找到逆三角函数的复合（当内函数是三角函数，外函数是逆三角函数）。 8. 评估包含逆三角函数的三角函数（当内函数是逆三角函数，外函数是三角函数）。 9. 如何代数上找到三角函数的逆。 10. 附加资源：包括逆三角函数概念的概述（手写）和解题展示的手写问题。 每节课程内容包括： 1. 解释概念、细节及示例的文章。 2. 视觉展示该示例的视频。 3. 随每节视频附上的练习问题资源。 4. 随每节视频附上的练习问题答案钥匙。 5. 短小测验以测试您的知识。 记住，实践是成为数学专家的关键！只要您观看每个视频，阅读每篇文章，并完成每节后提供的练习题，您就能很好地掌握如何评估逆三角函数。 真诚的，MathAngel369
This course is all about evaluating the six inverse trig functions in great detail, which is a topic covered in Precalculus Trigonometry at the University level. Once you complete this course, you will thoroughly understand the graphs of the six inverse trig functions. You will also be able to identify the domain and range, find the exact value and algebraically find the inverse of a trig function.Section 1:How to Graph Inverse Sine and Identify the Domain and RangeHow to Find the Exact Value of Inverse Sine Using the Unit CircleSection 2:How to Graph Inverse Cosine and Identify the Domain and RangeHow to Find the Exact Value of Inverse Cosine Using the Unit CircleSection 3:How to Graph Inverse Tangent and Identify the Domain and RangeHow to Find the Exact Value of Inverse Tangent Using the Unit CircleSection 4:How to Graph Inverse Cotangent and Identify the Domain and RangeHow to Find the Exact Value of Inverse Cotangent Using the Unit CircleSection 5:How to Graph Inverse Secant and Identify the Domain and RangeHow to Find the Exact Value of Inverse Secant Using the Unit CircleSection 6:How to Graph Inverse Cosecant and Identify the Domain and RangeHow to Find the Exact Value of Inverse Cosecant Using the Unit CircleSection 7:How to Find the Composition of Inverse Trig Functions Using the Unit Circle (when the inner function is a trig function and the outer function is an inverse trig function).Section 8:Evaluating Trig Functions Involving Inverse Trig Functions (when the inner function is an inverse trig function and the outer function is a trig function).Section 9:How to Algebraically Find the Inverse of a Trig FunctionSection 10 (Extra):Attached, as a resource:1) An overview of concepts for inverse trig functions (handwritten)2) Hand-written problems that I work out, showing all steps.For each section (1-9), you are given:1. An article explaining concepts, details, and the example that is used in the video.2. A video showing a visual of the example in the article.3. Resource: Practice problems (attached to the last lecture of each section)4. Resource: The Answer key to the practice problems (attached to the last lecture of each section)5. A short quiz to test your knowledgeRemember, practice is key to becoming an expert at mathematics!If you watch each video, read each article, and work the practice problems given after each video, you will have a good understanding of how to evaluate inverse trig functions!Sincerely, MathAngel369
