Question
For this problem, recall that \( \sin ^{2} \theta \) means \( (\sin \theta)^{2} \) \( \sin \theta=\frac{4}{\sqrt{17}} \), find \( \sin ^{2} \theta \) \( \sin ^{2} \theta=\square \)
Ask by Salinas Gough. in the United States
Jan 24,2025
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Tutor-Verified Answer
Answer
\( \sin ^{2} \theta = \frac{16}{17} \)
Solution
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The Deep Dive
To find \( \sin^{2} \theta \), you simply square the value of \( \sin \theta \). Since \( \sin \theta=\frac{4}{\sqrt{17}} \), you calculate \( \sin^{2} \theta \) as follows: \[ \sin^{2} \theta = \left( \frac{4}{\sqrt{17}} \right)^{2} = \frac{16}{17}. \] Thus, \( \sin^{2} \theta = \frac{16}{17} \). Now you have the final answer: \( \sin^{2} \theta = \frac{16}{17} \).