If $tan x=3$ , what are sin x and cos x?

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If $tan x=3$ , what are sin x and cos x?

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Answer 1 · 2015-04-16T11:24:02

If $tan(x) =3$ then there are two possible configurations:
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from which it follows that
$sin(x) = 3/sqrt(10)$ or $sin(x) = -3/sqrt(10)$
and
$cos(x) = 1/sqrt(10)$ or $cos(x) = -1/sqrt(10)$

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If $tan x=3$ , what are sin x and cos x?

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If $tan x=3$ , what are sin x and cos x?