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svp [43]
3 years ago
5

If sin theta =3/7 and tan theta <0 what is the value of cos theta

Mathematics
1 answer:
Savatey [412]3 years ago
7 0

Remember that

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

So if \sin\theta>0 and \tan\theta, then we know \cos\theta.

Then use the Pythagorean identity to solve for cosine:

\cos^2\theta+\sin^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac{2\sqrt{10}}7

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