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Find all angles, 0^(@) <= theta < 360^(@), that solve the following equation. sin theta=0 Answer: theta=

Find all angles, 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} , that solve the following equation.\newlinesin⁡θ=0 \sin \theta=0 \newlineAnswer: θ= \theta=

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Csc, sec, and cot of special anglesright chevron icon

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Q. Find all angles, 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} , that solve the following equation.\newlinesin⁡θ=0 \sin \theta=0 \newlineAnswer: θ= \theta=
  1. Identify Zero Sine Angles: Identify the angles for which the sine function equals zero.\newlineThe sine function is zero at specific standard angles where the y-coordinate of the point on the unit circle is zero. These angles are 0∘0^\circ, 180∘180^\circ, and 360∘360^\circ.
  2. Verify Angle Range: Verify the range of the angles.\newlineWe need to find all angles between 0∘0^\circ and 360∘360^\circ, including 0∘0^\circ but excluding 360∘360^\circ, that satisfy the equation sin⁡(θ)=0\sin(\theta) = 0. Since 360∘360^\circ is the same as 0∘0^\circ on the unit circle, we exclude it from our final answer.
  3. List Satisfying Angles: List all the angles that satisfy the condition within the specified range.\newlineThe angles that satisfy sin⁡(θ)=0\sin(\theta) = 0 in the range 0∘≤θ<360∘0^\circ \leq \theta < 360^\circ are 0∘0^\circ and 180∘180^\circ.

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