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![https://externalquestionsimg.blob.core.windows.net/external-question-images/images/images/ka/DigitalSAT/Foundations%2020Geometry%2020and%2020trigonometry/Unit%2020circle%2020trigonometry%2020foundations/Q−11-11.png]

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Multiply and divide rational numbersright chevron icon

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Q. ![https://externalquestionsimg.blob.core.windows.net/external-question-images/images/images/ka/DigitalSAT/Foundations%2020Geometry%2020and%2020trigonometry/Unit%2020circle%2020trigonometry%2020foundations/Q−11-11.png]
  1. Understand sin⁡(θ)\sin(\theta): To find the value of sin⁡(θ)\sin(\theta), we need to understand that in the unit circle, sin⁡(θ)\sin(\theta) corresponds to the yy-coordinate of the point (x,y)(x, y) on the circle.
  2. Identify point on circle: Looking at the given image, we see that the point (x,y)(x, y) on the unit circle is (−3/2,1/2)(-\sqrt{3}/2, 1/2).
  3. Calculate sin⁡(θ)\sin(\theta): Since sin⁡(θ)\sin(\theta) is the y-coordinate of the point on the unit circle, sin⁡(θ)=12\sin(\theta) = \frac{1}{2}.

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