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所在平台: Udemy |
课程主页: https://www.udemy.com/course/intro-to-trigonometry/
课程评论：没有评论
**课程名称：三角学入门** **课程概述：** 本课程旨在教授大学和高中水平的三角学基础知识，涵盖以下主要内容： * **几何基础：** 介绍各种三角形类型（直角、钝角、锐角、等腰、不等边、等边三角形）及其判定方法。 * **角度测量：** 讲解弧度和角度两种度量方式，以及它们之间的相互转换。同时涵盖度和分秒（DMS）的转换。 * **三角函数：** 深入学习六种基本三角函数（正弦、余弦、正切、余切、正割、余割），并与单位圆紧密结合。 * **特殊角度与应用：** 讲解特殊直角三角形、参考角、任意角度的三角函数，以及与直角三角形相关的实际应用问题。 * **三角恒等式：** 学习基本三角恒等式，并运用它们进行三角恒等式的证明。 * **三角函数公式：** 掌握和差公式、倍角公式和半角公式，用于计算单位圆之外角度的三角函数值。 * **函数图像：** 学习绘制正弦、余弦、正切和余切函数的图像，包括平移、反射和伸缩等变换。 * **反三角函数：** 介绍反三角函数及其性质。 * **正弦定理和余弦定理：** 学习如何利用正弦定理和余弦定理求解三角形中的未知边长和角度。 * **复数与三角学：** 介绍极坐标方程，以及复数的三角形式、乘方和开方运算。 本课程将循序渐进地引导学习者掌握三角学的概念和应用，为进一步学习数学和相关科学领域打下坚实基础。
In this course you will learn the essential of a college level, and high school level trigonometry course. This course will cover:Different type of triangles: right, obtuse, acute, isosceles, scalene, equilateral triangleRadian and degree measure with conversionDegree, minute, second conversionSix trigonometry functions and the unit circleSpecial right trianglesReference angleTrigonometric function of any angleFundamental identitiesVerifying trigonometric identitiesSum and difference formulasDouble angle and half-angle identitiesGraphing sine and cosine graphsGraphing tangent and cotangent graphsInverse trigonometric functionsLaw of sine and cosinePolar equationsPowers and roots of complex numbersTrigonometric form of complex numbersThis course will first introduce the different type of triangles, and how determine which triangle you have. This course will go over the six trigonometric functions and the unit circle. This course will go over right triangles, and application problems related to right triangle problems. This course will go over radian and degree measure with conversion. This course will go over special right triangle, reference angle, trigonometric function of any angle. You will learn about fundamental identities, and use those fundamental identities to do proofs. You can find sine, cosine, and tangent of angles that's not within the unit circle by using sum and difference formulas. You will learn about double angle and half-angle identities. You will learn about graphing: sine, cosine, tangent, and cotangent graphs with its shift, reflection, and translation. You will learn about inverse trigonometric functions. You can find missing side lengths or missing angles by using law of sine and cosine. Finally, the course will end with: polar equations, powers and roots of complex numbers, trigonometric form of complex numbers.
