First we need to find the value of x.

cosx = 3 / 5 is also cos^-1(3/5) = x

cos^-1(3/5) = 53.13

So, cos(2π + 53.13) = cos(59.41)

Finally, cos(59.41) = 0.509

Apologies. I did that in degrees by accident.

cos^-1(3/5) = .9273

So, cos(2π + .9273) = cos(7.21)

Finally, cos(7.21) = .6 or 3/5

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