Question

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

Answer 1

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`