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Let $\theta$ be an acute angle. If $\cos \theta = \frac{3}{11},$ then what is $\sin \theta?$

 Oct 28, 2023
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By the Pythagorean identity, we have sin2i+cos2i=1. Substitutingcosi=113​,we getsin2i+(113​)2=1,sosin2i=12196​.

Taking the square root of both sides, we get sini=±1196​​. Sinceiis acute,sini must be positive. Therefore, sini=1196​​​.

 Oct 28, 2023

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