Trigonometric Equations

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The general solution of sin θ = 0 is

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1. **Unit Circle Check**: Sine is zero at the horizontal points on the circle.
2. **Values**: $	heta = 0, \pi, 2\pi, 3\pi, \dots$ and also $- \pi, -2\pi, \dots$.
3. **Generalization**: All integer multiples of $\pi$.
4. **Result**: **$	heta = n\pi$**, where $n \in \mathbb{Z}$ (an integer).

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The general solution of cos θ = 1 is

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