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三角法の習得：幾何学と予備計算における重要なトピック
Dr. Wang, Ph.D., Math and Physics
平均評価:
4.6
レビュー数:(10)
この 6 週間のコースでは、基礎から拡張、方程式の解法、極座標、ベクトル、複素数まで、三角法に関するあらゆる知識を学習します。
この文章は自動翻訳されています
このクラスで学べること
英語レベル - 不明
Teacher-Created カリキュラムに準拠
Advanced Placement (AP) Standards に準拠
Class Format: This Outschool class on trigonometry will be conducted live via an interactive online platform. Each session will include a combination of lectures, discussions, practice problems, and hands-on activities to ensure a thorough understanding of trigonometric concepts. The class is designed to be engaging and interactive, with plenty of opportunities for students to ask questions and participate in discussions. Class Activities: Interactive Lectures: Each class will begin with a...
12 lessons//6 Weeks
Week 1Lesson 1Introduction to TrigonometryHistory and applications of trigonometry Angles and their measurement (degrees and radians) The unit circle and its importanceLesson 2Trigonometry FunctionsDefinitions of sine, cosine, tangent, and their reciprocals (cosecant, secant, cotangent) Values of trigonometric functions for special anglesWeek 2Lesson 3Graphing Trigonometry FunctionsGraphs of sine, cosine, and tangent functions Amplitude, period, phase shift, and vertical shiftLesson 4Trig Identities and EquationsFundamental identities (Pythagorean, reciprocal, quotient identities) Sum and difference formulasWeek 3Lesson 5Solving Trig EquationsTechniques for solving basic trigonometric equations Using identities to solve more complex equationsLesson 6Inverse Trig FunctionsDefinition and properties of inverse trigonometric functions Solving equations involving inverse trigonometric functionsWeek 4Lesson 7Law of Sines and CosinesLaw of Sines and Law of Cosines Solving real-world problems involving right and oblique trianglesLesson 8Polar Coordinates and Complex NumbersPolar coordinates and their relationship to Cartesian coordinates Trigonometric form of complex numbersWeek 5Lesson 9VectorsIntroduction to vectors and their properties Dot product and its applicationsLesson 10Periodic FunctionsModeling periodic phenomena with trigonometric functions Harmonic motionWeek 6Lesson 11Analytic TrigonometrySum-to-product and product-to-sum formulas Trigonometric form of equations and inequalitiesLesson 12Final ReviewComprehensive review of all topics covered Strategies for solving complex problems
- Understand and apply the properties of angles and triangles. Define and use the six trigonometric functions.
- Solve right and oblique triangles. Graph trigonometric functions and analyze their properties.
- Apply trigonometric identities and solve trigonometric equations. Use trigonometry in real-world applications and problem-solving.
授業以外に週あたり 0 - 1 時間の学習が期待されます
Homework
頻度: 含まれるフィードバック: 含まれる詳細: Homework will be handed out at the end of each session for students to practice.
このクラスでは、Outschool内のクラスルームに加えて、以下を使用します。
参加しました March, 2024
4.6
10レビュー
教師の専門知識と資格
Hello! I am Dr. Wang! I have a Ph.D. degree in Aeronautical Engineering from a top school in the United States. I have 10+ years of experience teaching classes to college students and high school students. I enjoy teaching STEM subjects to...
レビュー
グループクラス
￥100
毎週または￥360 12 クラス分週に2回、 6 週間
30 分
オンラインライブ授業
年齢: 11-16
クラス人数： 4 人-10 人
