3\theta = 330^\circ + 360^\circ k \quad \Rightarrow \quad \theta = 110^\circ + 120^\circ k
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- \phi = 30^\circ + 360^\circ k \quad \text{or} \quad \phi = 330^\circ + 360^\circ k, \quad k \in \mathbb{Z}
- Since $ \phi = 3\theta $, we substitute:
- 3\theta = 30^\circ + 360^\circ k \quad \Rightarrow \quad \theta = 10^\circ + 120^\circ k
- We now find all $ \theta \in [0^\circ, 360^\circ] $ by plugging integer values of $ k $.
- For $ \theta = 10^\circ + 120^\circ k $:
- $ k = 0 $: $ 10^\circ $
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