trigonometric equations

Question

The general solution of cos θ = 1 is

RankGuru · Accepted Answer

1. **Point Selection**: Cosine is 1 only at the point where the unit circle crosses the positive x-axis.
2. **Values**: $	heta = 0, 2\pi, 4\pi, \dots$ and counterparts in the negative direction.
3. **Generalization**: Covers only even multiples of $\pi$.
4. **Formula**: **$	heta = 2n\pi$**, where $n \in \mathbb{Z}$.

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The general solution of sin θ = 0 is