United University

Algebra Grade 10. Trigonometric functions. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 34 hours

Embark on an exciting journey through algebra! Our "Algebra Grade 10. Trigonometric functions" course offers a dynamic learning experience that brings the principles of trigonometry to life. Through interactive lessons, quizzes, and engaging activities, students will gain a deep understanding of trigonometric functions, their properties, and applications.

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Embark on an exciting journey through algebra! Our "Algebra Grade 10. Trigonometric functions" course offers a dynamic learning experience that brings the principles of trigonometry to life. Through interactive lessons, quizzes, and engaging activities, students will gain a deep understanding of trigonometric functions, their properties, and applications.

Why choose our course:

  • Interactive tests: Test your knowledge and reinforce learning with engaging and challenging quizzes.
  • Expertly crafted content: Developed by experienced educators to ensure high-quality and effective learning.
  • Focus on mathematical analysis: Encourage students to analyze functions, apply mathematical properties, and develop logical reasoning.

Course Modules

Module 1: Trigonometric functions

  • §17. Sine, Cosine, Tangent, and Cotangent of an Angle (Parts 1, 2)
  • §18. Radian Measure of Angles. Trigonometric Functions of a Numerical Argument (Parts 1, 2)
  • §19. Properties of Trigonometric Functions (Parts 1, 2)
  • §20. Basic Relations Between Trigonometric Functions of the Same Argument (Parts 1, 2, 3)
  • §21. Reduction Formulas (Parts 1, 2)
  • §22. Periodicity of Functions. Properties and Graphs of Trigonometric Functions. Harmonic Oscillations (Parts 1, 2)
  • §23. Trigonometric Addition Formulas (Parts 1, 2)
  • §24. Formulas for Double, Triple, and Half Arguments. Power Reduction Formulas (Parts 1, 2, 3)
  • §25. Formulas for the Sum and Difference of Trigonometric Functions. Formulas for Converting Products of Trigonometric Functions into a Sum (Parts 1, 2)

Expected Learning Outcomes

  • Converts between radian and degree measures of angles.
  • Establishes the correspondence between real numbers and points on the unit circle.
  • Calculates the values of trigonometric expressions using identities.
  • Formulates the definitions of sine, cosine, tangent, and cotangent of a numerical argument; the properties of trigonometric functions; and the properties of periodic functions.
  • Graphs periodic functions.
  • Illustrates the properties of periodic functions using graphs.
  • Transforms trigonometric expressions.

By the end of this course, students will have a thorough understanding of trigonometric functions, their applications, and methods for solving various types of problems.

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