Math  /  Trigonometry

QuestionGiven cosθ=338\cos \theta=\frac{3 \sqrt{3}}{8}, what is sinθ\sin \theta ? sinθ=[?]\sin \theta=\frac{\sqrt{[?]}}{}

Studdy Solution
Take the square root of both sides to find sinθ\sin \theta:
sinθ=±3764\sin \theta = \pm \sqrt{\frac{37}{64}}
Simplify the square root:
sinθ=±378\sin \theta = \pm \frac{\sqrt{37}}{8}
The value of sinθ\sin \theta is:
sinθ=±378\sin \theta = \pm \frac{\sqrt{37}}{8}

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