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Use an appropriate Pythagorean identity to find the indicated value for an acute angle . Write your answer as a simplified fraction
denominators if necessary.
Given , find the exact value of .

Ask by Ortiz Bowen. in the United States
Jan 22,2025

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Bonus Knowledge

To find given , we first recall that . This allows us to determine :
Next, we can find using the Pythagorean identity :
Now substituting into the identity:
Taking the square root gives:
Finally, is the ratio of to :
Thus, the exact value of is .

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