化简y=cos^2(x/2)+sin^2(x/2)+sinx为y=Asin(Bx+C)_数学解答

化简y=cos^2(x/2)+sin^2(x/2)+sinx为y=Asin(Bx+C)

人气：219 ℃　时间：2020-02-04 05:38:22

解答

是y=cos^2(x/2)-sin^2(x/2)+sinx
=sinx+cosx
=√2(√2/2*sinx+√2/2cosx)
=√2(sinxcosπ/4+cosxsinπ/4)
=√2sin(x+π/4)