化简sec(x)-tan(x)sinx+sin(2x)/2sin(x)
问题描述:
化简sec(x)-tan(x)sinx+sin(2x)/2sin(x)
化简sec(x)-tan(x)sinx+sin(2x)/2sin(x)
A:2sin(x)B:2cos(x) C:sin(x)+1 D:cos(x)^2 E:cos(x)+1
答
sec(x)-tan(x)sinx+sin(2x)/2sin(x)
=1/cosx-(sinx/cosx)*sinx+2sinx*cosx/2sinx
=[(1-sin^2x)]/cosx+cosx
=2cos^2x/cosx
=2cosx
选B