log2sinπ/8+log2cosπ/8

问题描述:

log2sinπ/8+log2cosπ/8

log2sinπ/8+log2cosπ/8
=log2[(sinπ/8)(cosπ/8)]
=log2[(sinπ/4)/2]
=log2(√2/4)
=log2(√2)-2
=1/2-2
=-3/2