Question

please send the answer process!!!!!!!!!!!

Answer 1

You can see that the 1st , 2nd and 3rd options are the same, because
$32 = {2}^{5} \\ {2}^{4 + 1} = {2}^{5}$
Thus, the only possible answer is the fourth answer, that is
$\cos( \frac{\pi}{ {2}^{5} } )$
If you are thinking about the whole procedure of doing this problem, I can see that this problem is from some IIT foundation course and these type of problem are made for testing your extra thinking capabilities!!!