That is a really good answer Will85237
I'll show you another approach :)
If sine of Theta=0.4, what is the value of cosine of Theta?
0.4= 2/5
Draw a right angled triangle and label one of the acute angles as theta.
sine theta = 2/5
so mark the opposite side as 2 and the hypotenuse as 5
The adjacent side will be sqrt(25-4) = sqrt(21)
So cos(theta) = sqrt(21)/5 = sqrt(0.84) which is exactly what Will found.
Theta could also be in the 2nd quadrant. In this case cos(theta) = -sqrt(21)/5