Упростите cosx+cos (pi/2+x)/2cos^2x-sin2x

Question

Упростите cosx+cos (pi/2+x)/2cos^2x-sin2x

Answer 1

(cosx+cos (pi/2+x))/(2cos^2x-sin2x)=(cosx-sinx)/(2cos^2x-2sinxcosx)=(cosx-sinx)/(2cosx(cosx-sinx)=1/2cosx