First of all, I can't tell what angle you're talking about, because you failed
to mention the unit of your angle.
-- Cosine of 16 degrees is roughly 0.9613 ... a positive number.
-- Cosine of 16 radians is roughly -0.9577 ... a negative number.
-- Cosine of 16 grads is roughly 0.9686 ... a positive number.
Over any reasonably large range of angles, half of them have positive cosines,
and the other half of them have negative cosines.
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Cosine to the negative first power and cosine cancel each other out because cosine to the negative first power is one over cosine, and one over anything times anything is just one.
Because the cosine of some angles is positive and the cosine of some other angles is negative.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
cosine(x) = -1x = (270 + 360N) degreesorx = (1.5 + 2N) pi radiansN is any integer, positive or negative.
225 degrees