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Find all solutions with −90°≤θ≤90°-90° \leq \theta \leq 90°. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinesin⁡(θ)=0\sin (\theta) = 0\newline____°\_\_\_\_°

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Q. Find all solutions with −90°≤θ≤90°-90° \leq \theta \leq 90°. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinesin⁡(θ)=0\sin (\theta) = 0\newline____°\_\_\_\_°
  1. Identify Sine Zero: Since sin⁡(θ)=0\sin(\theta) = 0, we look for angles where the sine function is zero. On the unit circle, sine is zero at 0∘0^\circ and 180∘180^\circ.
  2. Consider Unit Circle: But we need to find solutions within the range −90°≤θ≤90°-90° \leq \theta \leq 90°. So, we only consider 0°0° because 180°180° is outside the given range.
  3. Find Solution: Therefore, the only solution within the given range is θ=0∘\theta = 0^\circ.

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