Trigonometry

The topic is divided into the following subtopics:

Angles, arcs and sectors
Sine, cosine, tangent and cotangent
Trigonometric equations and inequalities

Angles, arcs and sectors

Part I:

Conversions of degrees to radians and vice versa
Coterminal angles, coterminal angles between 0 and 360 degrees.
Correspondence between angles and quadrants
Adding and subtracting angles

Part II:

Angles specified by given conditions – arithmetic mean, enumeration, …
Computational problems involving clocks, calculation of marching angle (azimuth)
Coterminal angles – complex problems

Part III:

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Sine, cosine, tangent and cotangent

Part I:

Trigonometric ratios of standard angles

Part II:

Properties of trigonometric functions – parity, periodicity, boundedness
Domains and ranges
Graphs of trigonometric functions
Sine and cosine relationships

Part III:

Simplifying expressions with trigonometric functions - use of trigonometric identities
Domains of trigonometric expressions
Trigonometric functions with absolute value

Trigonometric equations and inequalities

Part I:

Basic trigonometric equations
Using substitution for solving trigonometric equations
Using basic identities for solving trigonometric equations

Part II:

Basic trigonometric inequalities

Part III:

More complex trigonometric equations and inequalities (use of trigonometric identities, exponentiation, …)
Trigonometric equations and inequalities with absolute value