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LVL: FREE 30H_EST Level 8

Trigonometry & Pre-Calculus

Prepare for higher mathematics by mastering periodic functions, exponential growth, logarithms, and infinite series. We will also dive into the complex plane, giving you the tools needed for advanced physics, engineering, and quantitative analysis.

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Curriculum

1Part 1

Theory

Definition of sine, cosine, tangent, and cotangent

2General Concepts

Theory

Solving right triangles

Theory

Degrees and radians

Theory

Unit circle and trigonometric functions of any angle

Theory

Signs of trigonometric functions by quadrants

3Part 2

Theory

Graphs of sine and cosine (amplitude, period, phase shift)

4General Concepts

Theory

Graph of tangent and asymptotes

Theory

Pythagorean trigonometric identity

Theory

Sum/difference and double-angle formulas

Theory

Basic trigonometric equations

5Part 3

Theory

Exponential growth and decay

6General Concepts

Theory

Concept of logarithms and their properties

Theory

Solving basic exponential and logarithmic equations

Theory

Arithmetic progression

Theory

Geometric progression

7Part 4

Theory

Infinite geometric series (introduction to limits)

8General Concepts

Theory

Imaginary unit (ii) and algebraic form (a+bia + bi)

Theory

Addition, subtraction, and multiplication of complex numbers

Theory

Complex plane