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Given that alpha = (8)/(17), find the value of alpha.

Mathematics

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Part 9· 2 steps

Given that sin⁡α=817\sin \alpha = \frac{8}{17}, find the value of csc⁡α\csc \alpha.

  1. Recall the reciprocal identity for cosecant.

    csc⁡α=1sin⁡α\csc \alpha = \frac{1}{\sin \alpha}

  2. Substitute the given value of sin⁡α\sin \alpha.

    csc⁡α=1817=178\csc \alpha = \frac{1}{\frac{8}{17}} = \frac{17}{8}

    The options are not visible in the provided image for this question, but the calculated value is 178\frac{17}{8}.

Part 10

Determine the quadrant for 115∘115^\circ.

Step

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