f(x)=1/2*sinx+(1+cosx)/2-1
=1/2(sinx+cosx)-1/2
=(√2/2)(sinx*√2/2+cosx*√2/2)-1/2
=(√2/2)(sinxcosπ/4+cosxsinπ/4)-1/2
=(√2/2)sin(x+π/4)-1/2
最小正周期T=2Pai/1=2Pai
单调增区间是2kPai-Pai/2
f(x)=1/2*sinx+(1+cosx)/2-1
=1/2(sinx+cosx)-1/2
=(√2/2)(sinx*√2/2+cosx*√2/2)-1/2
=(√2/2)(sinxcosπ/4+cosxsinπ/4)-1/2
=(√2/2)sin(x+π/4)-1/2
最小正周期T=2Pai/1=2Pai
单调增区间是2kPai-Pai/2