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Equations and systems
Trigonometric equations
This is a lesson from the Studienkolleg entrance exam preparation course. The full theory, worked examples and practice tasks unlock after you log in with paid access.
What is in this lesson
- 01Key terms (Vokabular: Deutsch-Ukrainisch)
- 02The unit circle (der Einheitskreis) — your main cheat sheet
- 03The golden table values in radians (Bogenmaß)
- 04The simplest trigonometric equations and their general solutions
- 05A. The equation $\sin(x)=a$ (where $-1\le a\le1$)
- 06B. The equation $\cos(x)=a$ (where $-1\le a\le1$)
- 07C. The equation $\tan(x)=a$ (where $a\in\mathbb{R}$)
- 08Strategies for solving harder equations
- 09Method 1: Substituting a new variable (Substitution)
- 10Method 2: A compound argument (changing the period)
- 11Main exam traps (Wichtige Fallen)
- 12Self-check exercises (Übungsaufgaben)