y=cos(x+π/2)+sin(π/3-x)的最大值是...答案是根号3 急 明天开学
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y=cos(x+π/2)+sin(π/3-x)的最大值是...答案是根号3 急 明天开学
y=cos(x+π/2)+sin(π/3-x)的最大值是...
答案是根号3 急 明天开学
y=cos(x+π/2)+sin(π/3-x)的最大值是...答案是根号3 急 明天开学
y=cos(x+π/2)+sin(π/3-x)=-sinx+sinπ/3cosx-cosπ/3sinx=-sinx+√3/2cosx-1/2sinx=√3/2cosx-3/2sinx=√3(1/2cosx-√3/2sinx)=√3cos(x+π/3)
因为cos(x+π/3)∈[-1,1]
所以√3cos(x+π/3)∈[-√3,√3]
所以y=cos(x+π/2)+sin(π/3-x)的最大值是√3
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