Find all positive integer values of that satisfy the equation
\(cos(\pi/n)cos(2\pi/n)cos(4\pi/n)cos(8\pi/n)cos(16\pi/n) = 1/32\) Enter all the solutions, separated by commas.
Since there are 5 factors and the product is 1/32, find the fiftth root of 1/32, which is 1/2.
Solve: cos( pi / n ) = 0.50
---> pi / n = cos-1(0.50)
---> pi = n · cos-1(0.50)
---> n = pi / cos-1(0.50)
---> n = 3
Each of the other factors have a value of -0.50.