Simplify ∏k=1ncos(x2k)\prod_{k=1}^{n} \cos(\frac{x}{2^k})∏k=1ncos(2kx) in terms of nnn and xxx.
sin(x)2nsin(x2n)\frac{\sin(x)}{2^n\sin(\frac{x}{2^n})}2nsin(2nx)sin(x)
sin(2x)2nsin(x2n)\frac{\sin(2x)}{2^n\sin(\frac{x}{2^n})}2nsin(2nx)sin(2x)
sin(x/2)2nsin(x2n+1)\frac{\sin(x/2)}{2^n\sin(\frac{x}{2^{n+1}})}2nsin(2n+1x)sin(x/2)
sin(x)2n−1sin(x2n)\frac{\sin(x)}{2^{n-1}\sin(\frac{x}{2^n})}2n−1sin(2nx)sin(x)