If $tan x = .67$ and $cos x = .83$ , what is sin x?

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Answer 1 · 2015-04-16T19:10:23

One of the standard definitions of $tan$ is
$tan(x) = (sin(x))/(cos(x))$
from which is follows that
$sin(x) = tan(x)*cos(x)$

So, if $tan(x) = 0.67$ and $cos(x) = 0.83$
then
$sin(x) = 0.67 xx 0.83 = 0.5561$

If tan x = .67tan x = .67 and cos x = .83cos x = .83, what is sin x?