a为第二象限角,sina=1/2 cosa=-√3/2
sin(a+兀/4)/sin2a+cos2a+1
=(sinacosπ/4+cosasinπ/4)/(2sinacosa+2cos^2a)
=√2/2(sinacosa)/2cosa(sina+cosa)
=(√2/2)/2cosa
=(√2/2)/(-√3)
=-√6/6
a为第二象限角,sina=1/2 cosa=-√3/2
sin(a+兀/4)/sin2a+cos2a+1
=(sinacosπ/4+cosasinπ/4)/(2sinacosa+2cos^2a)
=√2/2(sinacosa)/2cosa(sina+cosa)
=(√2/2)/2cosa
=(√2/2)/(-√3)
=-√6/6