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Find all solutions with −90°≤θ≤90° - 90°\leq\theta\leq90° . Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas. −sin⁡(θ)=−3sin⁡(θ) - \sin(\theta)= - 3\sin(\theta)

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Q. Find all solutions with −90°≤θ≤90° - 90°\leq\theta\leq90° . Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas. −sin⁡(θ)=−3sin⁡(θ) - \sin(\theta)= - 3\sin(\theta)
  1. Simplify equation: Simplify the equation −sin⁡(θ)=−3sin⁡(θ)-\sin(\theta) = -3\sin(\theta). Add sin⁡(θ)\sin(\theta) to both sides to get 0=−2sin⁡(θ)0 = -2\sin(\theta).
  2. Isolate sin⁡(θ)\sin(\theta): Divide both sides by −2-2 to isolate sin⁡(θ)\sin(\theta), resulting in sin⁡(θ)=0\sin(\theta) = 0.
  3. Determine values of θ\theta: Determine the values of θ\theta within the interval –90°≤θ≤90°–90°\leq\theta\leq90° where sin⁡(θ)=0\sin(\theta) = 0. The sine function equals zero at θ=0°\theta = 0°.

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