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The exact ratio for sin 60° is

Mathematics

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Part 6· 1 step

  1. Recall the exact trigonometric value for sin⁡(60∘)\sin(60^\circ).

    The exact value of sin⁡(60∘)\sin(60^\circ) is a fundamental trigonometric ratio derived from a 30-60-90 right-angled triangle.

    sin⁡(60∘)=oppositehypotenuse=32\sin(60^\circ) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{\sqrt{3}}{2}

    The exact ratio for sin⁡(60∘)\sin(60^\circ) is C. 32\boxed{\text{C. } \frac{\sqrt{3}}{2}}.

Part 7· 1 step

  1. Draw a diagram based on the given information.

    • Q is due south of P. This means P
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