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Dominio de la trigonometría: tema importante en geometría y precálculo

Clase
Dr. Wang, Ph.D., Math and Physics
Puntuación media:
4.6
Número de reseñas:
(10)
En este curso de 6 semanas, abordaremos todo lo que hay que saber sobre el tema de la trigonometría, desde los fundamentos hasta las extensiones y la resolución de ecuaciones, coordenadas polares, vectores y números complejos.

Experiencia de clase

Nivel de inglés: desconocido
Sigue en plan de estudios Teacher-Created
Alineado con Advanced Placement (AP) Standards
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 horas semanales fuera de clase
Tarea
Frecuencia: incluido
Comentario: incluido
Detalles: Homework will be handed out at the end of each session for students to practice.
Además del aula de Outschool, esta clase utiliza:
Se unió el March, 2024
4.6
10reseñas
Perfil
Experiencia y certificaciones del docente
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... 

Reseñas

Clase grupal

60 US$

semanalmente o 360 US$ por 12 clases
2 x por semana, 6 semanas
30 min

Videoconferencias en vivo
Edades: 11-16
4-10 alumnos por clase

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