This unit describes the competencies required to facilitate training on how to apply Trigonometry, hyperbolic functions, and Complex Numbers. This includes applying trigonometric ratios, applying trigonometric rules, solving trigonometric equations, applying hyperbolic functions, performing complex numbers operations, and applying De Moivre’s Theorem.
To study trigonometry effectively, students should have a solid understanding of the following prerequisite knowledge:
1. Basic Algebra
Arithmetic Operations: Addition, subtraction, multiplication, and division.
Solving Equations: Techniques for solving linear equations and simple quadratic equations.
Understanding Variables: Grasp of variables and their manipulation.
Functions: Basic concept of a function, function notation, and evaluating functions.
2. Geometry
Basic Geometric Shapes: Familiarity with basic shapes such as triangles, circles, and polygons.
Properties of Triangles: Knowledge of different types of triangles (equilateral, isosceles, and scalene) and their properties.
Pythagorean Theorem: Understanding the relationship between the sides of a right triangle.
Angles: Types of angles (acute, obtuse, right), complementary and supplementary angles, and angle relationships.
3. Number Theory
Prime Numbers: Basic properties and identification of prime numbers.
Divisibility Rules: Understanding basic divisibility rules.
Factors and Multiples: Concept of factors, multiples, and greatest common divisors.
4. Coordinate Geometry
Cartesian Plane: Understanding of the x-y coordinate system.
Plotting Points: Ability to plot points on the Cartesian plane.
Distance and Midpoint Formulas: Knowledge of formulas to calculate the distance between two points and the midpoint of a segment.
5. Ratios and Proportions
Ratios: Understanding the concept of ratios and how to simplify them.
Proportions: Solving proportional relationships.
6. Measurement
Units of Measurement: Familiarity with different units of measurement (length, area, volume, angles).
Conversion Between Units: Ability to convert between different units.
7. Logical Reasoning and Problem-Solving Skills
Logical Thinking: Ability to approach problems methodically and think logically.
Pattern Recognition: Identifying patterns and relationships between different mathematical concepts.