Find all angles, $$ 0^{\circ} \leq \theta

Question

Find all angles, $$ 0^{\circ} \leq \theta<360^{\circ} $$, that solve the following equation. $$ \cos \theta=1 $$

UpStudy AI · Accepted Answer

1. We start with the equation:
   $$
   \cos \theta = 1
   $$
2. The cosine function equals $$1$$ when the angle is at the start of its period. In the unit circle, the cosine of an angle is $$1$$ at:
   $$
   \theta = 0^\circ
   $$
3. Considering the interval $$ 0^\circ \leq \theta < 360^\circ $$, the only angle that satisfies the equation is:
   $$
   \theta = 0^\circ
   $$

Thus, the solution is:
$$
\boxed{0^\circ}
$$
The only angle between $$0^\circ$$ and $$360^\circ$$ that satisfies $$\cos \theta = 1$$ is $$0^\circ$$.

Find all angles, \( 0^{\circ} \leq \theta<360^{\circ} \), that solve the following equation. \[ \cos \theta=1 \]

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