Question

The angle $\theta$ is an acute angle and $\sin \theta = \frac{3}{10}$. Use the Pythagorean identity $\sin^2 \theta + \cos^2 \theta = 1$ to find $\cos \theta$.

          The angle $\theta$ is an acute angle and $\sin \theta = \frac{3}{10}$. Use the Pythagorean identity $\sin^2 \theta + \cos^2 \theta = 1$ to find $\cos \theta$.
        
The angle θ is an acute angle and sinθ = (3)/(10). Use the Pythagorean identity sin^2 θ + cos^2 θ = 1 to find cosθ.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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The angle heta is an acute angle and sin heta =(3)/(10). Use the Pythagorean identity sin^(2) heta +cos^(2) heta =1 to find cos heta . 3 K< The angle is an acute angle and sin = Use the Pythagorean identity sin + cos =1 to find cos . 10
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Transcript

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00:01 Okay, let's use a pythagorean identity here.
00:02 What's a pythagorean identity? well, the first one is sine squared plus cosine squared equals one.
00:09 To find an equivalent form, what i could do is divide this all, well, this is the first identity, so let's use this.
00:16 Okay, so we know that sine of theta is three, negative three over five, so i'm going to replace this with negative three over five squared.
00:23 I don't know what cosine squared is, equals one, and try to solve this.
00:28 So negative three over five squared, what's negative three times negative three? positive nine, five times five is 25, plus cosine squared of theta equals one.
00:38 But i have a denominator of 25.
00:40 What i'm going to do is multiply this one by 25 over 25 to get the same denominator.
00:48 So nine over 25 plus cosine squared of theta equals 25 over 25...
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