secx = 1/cosx
cscx = 1/sinx
sin2x = 2sinxcosx
((secx-coxs)(cscx-sinx))/sin2x
= (( (1/cosx) - cosx) ( (1/sinx) - sinx))/sin2x
= (( (1-(cosx)^2)/cosx) ((1- (sinx)^2)/sinx))/sin2x
= {(cosx)^2 * (sinx)^2}/ {2*(cosx)^2 * (sinx)^2}
= 1/2
注意 (sinx)^2 = (sinx)平方
所以简化后答案为 1/2
:{(secx-cosx)(cscx-sinx)}/sin2x=1/2