# 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