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Find all solutions with 0∘≤θ≤180∘0^\circ \leq \theta \leq 180^\circ. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinecos⁡(θ)=12\cos (\theta) = \frac{1}{2}\newline____ ∘\_\_\_\_\,^\circ

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Q. Find all solutions with 0∘≤θ≤180∘0^\circ \leq \theta \leq 180^\circ. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinecos⁡(θ)=12\cos (\theta) = \frac{1}{2}\newline____ ∘\_\_\_\_\,^\circ
  1. Identify cos⁡(θ)=12\cos(\theta) = \frac{1}{2}: Recognize that cos⁡(θ)=12\cos(\theta) = \frac{1}{2} corresponds to angles where the x-coordinate of the point on the unit circle is 12\frac{1}{2}. This happens at 60∘60^\circ and its supplementary angle.
  2. Calculate Supplementary Angle: Calculate the supplementary angle of 60°60°, which is 180°−60°=120°180° - 60° = 120°.
  3. List Angles for cos⁡(θ)=12\cos(\theta) = \frac{1}{2}: List the two angles where cos⁡(θ)=12\cos(\theta) = \frac{1}{2} within the given range: 60∘60^\circ and 120∘120^\circ.

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