1、sin(x+10°)+cos(x+40°)=sin(x+10°)+sin(x+130°)=2sin(x+70°)cos60°=sin(x+70°)最大值为1
另：y=sin(x+70°-60°)+cos(x+70°-30°)
=sin(x+70°)/2-√3cos(x+70°)/2+√3cos(x+70°)/2+sin(x+70°)/2
=sin(x+70°)
2、T=8-2=6，ω=π/3
f(x)=Asin(πx/3+φ)
x=3为对称轴，f(3)=Asin(π+φ)=A，所以φ=-π/2
f(x)=Asin(πx/3-π/2)
πx/3-π∈[2kπ-π/2,2kπ+π/2]
解得[6k+3/2,6k+9/2]，k∈Z
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