# The value of cos π/2^2.cosπ/2^3..... .cosπ/2^10.sinπ/2^10

The value of $$\cos{π\over 2^2}.\cos{π\over2^3}.....\cos{π\over2^{10}}.\sin{π\over2^{10}}$$

is

A)1/1024

B)1/512

C)1/2

D)1/256

verified

The correct answer is option B)1/512

Detailed solution