cos(5π/8+π/8)=cos5π/8cosπ/8-sin5π/8sinπ/8=-√2/2cos(5π/8-π/8)=cos5π/8cosπ/8+sin5π/8sinπ/8=0两式相加2cos5π/8cosπ/8=-√2/2cos5π/8cosπ/8=-√2/4
cos5π/8cosπ/8=[cos(5π/8+π/8)+cos(5π/8-π/8)]/2=(cos3π/4+cosπ/2)/2=(cos3π/4)/2=-√2/4