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Find all solutions with 0θ1800^\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)=0\cos (\theta) = 0\newline____\_\_\_\_\,^\circ

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Q. Find all solutions with 0θ1800^\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)=0\cos (\theta) = 0\newline____\_\_\_\_\,^\circ
  1. Cosine at y-axis: Cosine of an angle is 00 at the points where the angle corresponds to the y-axis on the unit circle.
  2. Angles on unit circle: The angles that correspond to the y-axis on the unit circle are 90°90° and 270°270°.
  3. Excluding 270°270°: Since we are looking for angles between 0° and 180°180°, we exclude 270°270°.
  4. Cosine = 00 at 9090^\circ: The only angle between 00^\circ and 180180^\circ where cos(θ)=0\cos(\theta) = 0 is at 9090^\circ.

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