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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