Why does mathcad count sin and cos incorrectly?

Question

Mathematics

Why are there no zeros in the answer??

Answer 1

That's right, just within double (it seems) precision.
First value: 0.000000000000000000000000000000003749
Second knowledge: 0.000000000000000006123 I
could have made a mistake somewhere.
And why - because it converts degrees to radians through PI, and here an inaccuracy appears.

Answer 2