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掌握三角函數:幾何和 PreCalc 中的重要主題

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Dr. Wang, Ph.D., Math and Physics
平均評分:
4.6
評論數量:
(10)
在這個為期 6 週的課程中,我們將解決有關三角學主題的所有知識,從基礎知識到擴展,再到求解方程式、極坐標、向量和複數。
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課堂經歷

英語程度 - 未知
遵循 Teacher-Created 課程
與 Advanced Placement (AP) Standards對齊
12 lessons//6 Weeks
 Week 1
Lesson 1
Introduction to Trigonometry
History and applications of trigonometry Angles and their measurement (degrees and radians) The unit circle and its importance
Lesson 2
Trigonometry Functions
Definitions of sine, cosine, tangent, and their reciprocals (cosecant, secant, cotangent) Values of trigonometric functions for special angles
 Week 2
Lesson 3
Graphing Trigonometry Functions
Graphs of sine, cosine, and tangent functions Amplitude, period, phase shift, and vertical shift
Lesson 4
Trig Identities and Equations
Fundamental identities (Pythagorean, reciprocal, quotient identities) Sum and difference formulas
 Week 3
Lesson 5
Solving Trig Equations
Techniques for solving basic trigonometric equations Using identities to solve more complex equations
Lesson 6
Inverse Trig Functions
Definition and properties of inverse trigonometric functions Solving equations involving inverse trigonometric functions
 Week 4
Lesson 7
Law of Sines and Cosines
Law of Sines and Law of Cosines Solving real-world problems involving right and oblique triangles
Lesson 8
Polar Coordinates and Complex Numbers
Polar coordinates and their relationship to Cartesian coordinates Trigonometric form of complex numbers
 Week 5
Lesson 9
Vectors
Introduction to vectors and their properties Dot product and its applications
Lesson 10
Periodic Functions
Modeling periodic phenomena with trigonometric functions Harmonic motion
 Week 6
Lesson 11
Analytic Trigonometry
Sum-to-product and product-to-sum formulas Trigonometric form of equations and inequalities
Lesson 12
Final Review
Comprehensive 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.
0 - 1 每週課外時間
Homework
頻率: 包括
回饋: 包括
細節: Homework will be handed out at the end of each session for students to practice.
除了 Outschool 教室外,本課程也使用:
已加入 March, 2024
4.6
10評論
教師檔案
教師專業知識和證書
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... 

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團體課

US$60

每週或US$360 用於 12 課程
每週上課 x 2 次, 6 週
30 分鐘

即時視訊會議
年齡: 11-16
4-10 每班學員人數

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