sequences and series - Using roots of unity to prove that $\cos\frac{\pi }{2n}\cos\frac{2\pi}{2n}\cdots\cos\frac{(n-1)\pi}{2n}=\frac{\sqrt{n}}{2^{n-1}}$ - Mathematics Stack Exchange
Deduce that cos(Pi/12) = [sqrt(3)+1]/[2sqrt(2)] and sin(Pi/12) = [sqrt(3)-1]/[2sqrt(2)] : r/askmath
The value of ( cos frac { pi } { 2 ^ { 2 } } cdot cos frac { pi } { 2 ^ { 3 } } cdot ldots cdot cos frac { pi } { 2 ^ { 10 } } cdot sin frac { pi } { 2 ^ { 10 } } ) 0( mathrm { ns } ) 512 2. 1024 256 2