Y=sinX+cosX
=根号2(1/2根号2sinx+1/2根号2cosx)
=根号2(cos45度sinx+sin45度cosx)
=根号2sin(x+45度)
这个式子最大值显然是x=45度时,最大为根号2
周期T为2pi
Y=sinX+cosX=sqr(2)*sin(x+PI/4)
其中sqr表示开方 PI就是圆周率,
最大值是sqr(2),当x是PI/4时取到,周期是2*PI
y=√2(sinx*√2/2+cosx*√2/2)
=√2(sinxcosπ/4+cosxsinπ/4)
=√2sin(x+π/4)
所以最大值=√2
T=2π/4=2π
y=√2(sinx*√2/2+cosx*√2/2)
=√2(sinxcosπ/4+cosxsinπ/4)
=√2sin(x+π/4)
所以最大值=√2
T=2π/4=2π
Y=sinX+cosX=根号2*sin(X+Pi/4)
<=根号2