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所在平台: Udemy |
课程主页: https://www.udemy.com/course/trigonometry-explained/
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课程名称：三角学详解 课程概述：通过这门课程，您将掌握从初学者到高级的三角学概念，帮助您在接下来的考试中获得优异成绩。本课程提供逐步的视频教程，并通过严格的练习测试题来检验您的知识。所有测试题均附有详细的解题视频。您将学习的概念是成功学习更高阶数学课程（如微积分和线性代数）的基础。 课程内容包括但不限于：三角学基础、角度的回顾、特殊角的处理、三角函数值的求解、解直角三角形的方法、弧度与度数之间的转换、单位圆的理解、三角函数的图形化以及逆三角函数的运用等。此外，课程还涵盖了向量、复数的相关内容，并介绍了极坐标系与直角坐标系的转换。 请注意：这门课程专注于三角学，适合仅需学习三角学的学生。如果您需要代数方面的帮助，请选择“大学代数、预备微积分与三角学详解”课程。在购买前，请仔细阅读相关信息。通过该课程，您将有效提升三角学能力，为后续的数学学习打下坚实基础。
Become a Master of Trigonometry and Ace your next Exam! In this course, you will master the concepts of Trigonometry from beginner to advanced, with our step-by-step video tutorials and test your knowledge with tough Practice Test Questions. All practice test questions in this course are fully solved with optional step-by-step solution videos. The concepts you will learn are fundamental to success in higher math classes such as Calculus and Linear Algebra. PLEASE READ BELOW BEFORE PURCHASING:This course is pure trigonometry and is structured for those students who only want to take trigonometry and don't need any lessons or help with algebra. If you need help with algebra, you should select College Algebra, Precalculus, & Trigonometry Explained. All lessons from this course can be found in that course.PLEASE READ ABOVE BEFORE PURCHASING:Trigonometry BasicsReview of AnglesAcute Angles, Obtuse Angles, Right Angles, Straight AnglesFinding the Complement of an angleFinding the Supplement of an angleDegrees, Minutes, and SecondsConverting Between Decimal Degrees and Degrees, Minutes, and SecondsDetermine if two Angles are Coterminal AnglesSolving for Missing Angles in Similar TrianglesSolving for Missing Sides in Similar TrianglesSolving for Missing Angles with a Transversal Crossing Two Parallel LinesFinding the Trigonometric Function Values of an AngleFinding Trigonometric Function Values Given One Value and the QuadrantFinding Trigonometric Function Values Based on Reciprocal IdentitiesFinding Trigonometric Function Values Based on Pythagorean IdentitiesFinding Trigonometric Function Values Based on Quotient IdentitiesFinding the Six Trigonometric Function Values of an Acute AngleWriting a Trigonometric Function in Terms of its CofunctionSolving Trigonometric Equations using Cofunction IdentitiesFinding Reference AnglesSpecial Angles as Reference AnglesFinding Angle Measures with Special AnglesFinding Trigonometric Function Values of Non-Acute AnglesFinding Trigonometric Function Values Using a CalculatorFinding Unknown Angle Measures Using Inverse Trigonometric Functionsarcsin, arccos, arctan, arcsec, arccsc, arccotHow to Solve Right Triangles When Two Sides are KnownHow to Solve Right Triangles Given an Angle and a SideHow to Solve Word Problems that Involve Angles of ElevationHow to Solve Word Problems that Involve Angles of DepressionWhat are RadiansConverting Between Radians and DegreesFinding Arc Length on a CircleFinding the Area of a Sector of a CircleUnderstanding Trigonometry Using the Unit CircleCircular FunctionsSolving Trigonometry word problems with Linear and Angular SpeedGraphing Sine and CosineFunction Transformations with Sine and CosineFinding the Amplitude, Period, Phase Shift, and Vertical Shift for Trigonometric FunctionsUsing the Fundamental Trigonometric Identities to Find Missing Trigonometric RatiosUsing the Fundamental Trigonometric Identities to rewrite Trigonometric ExpressionsHow to Verify Trigonometric IdentitiesSum and Difference Identities for Sine, Cosine, and TangentFinding sin(A + B), sin(A - B)Finding cos(A + B), cos(A - B)Finding tan(A + B), tan(A - B)Double-Angle IdentitiesProduct-to-Sum IdentitiesSum-to-Product IdentitiesHalf-Angle IdentitiesSketching the Graphs of Inverse Trigonometric FunctionsEvaluating Inverse Trigonometric FunctionsFinding the Composition of Inverse Trigonometric FunctionsSolving Trigonometric Equations Using Linear MethodsSolving Trigonometric Equations by FactoringSolving Trigonometric Equations by Squaring/Square RootsSolving Trigonometric Equations Using IdentitiesSolving Trigonometric Equations Using the Quadratic FormulaSolving Trigonometric Equations with Half-AnglesSolving Trigonometric Equations with Multiple AnglesSolving Trigonometric Equations Using Inverse Trigonometric FunctionsLaw of Sines (SAA) and (ASA)Law of Sines area formula (SAS)Law of Sines ambiguous caseLaw of cosinesFinding the area of a triangle using Heron's formula (SSS)Finding the Component Form of a VectorFinding the Magnitude of a VectorFinding the Direction Angle of a VectorFinding the Resultant (Sum) of Two Vectors GraphicallyFinding the Resultant (Sum) of Two Vectors AlgebraicallyMultiplying a Vector by a ScalarWrite a Linear Combination of Unit VectorsFind the Dot Product of Two VectorsFind the Angle Between Two VectorsDetermine if Two Vectors are Orthogonal VectorsFinding the Sum of Two Complex Numbers GraphicallyFinding the Polar Form of a Complex NumberConverting between Rectangular Form and Polar FormMultiplying Complex Numbers in Polar FormDividing Complex Numbers in Polar FormProduct and Quotient TheoremsDe Moivre's TheoremPowers of Complex Numbers in Polar FormRoots of Complex Numbers in Polar FormSolving Equations Using Roots of Complex NumbersThe Polar Coordinate SystemPlotting Polar Coordinates on the Polar GridConverting Between Polar Coordinates and Rectangular CoordinatesWriting Polar Coordinates in Multiple WaysDistance Between Polar PointsConverting Lines Between Rectangular and Polar FormsGraphing Lines on the Polar PlaneConverting Circles Between Rectangular and Polar FormsGraphing Circles on the Polar PlaneFinding the Inclination of a LineFinding the Angle Between Two LinesFinding the Distance Between a Point and a Line
