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已知函数f(x)=2sin(派-x)cosX 求f(x)最小正周期 求f(x)在区间[-6/派,2
已知函数f(x)=2sin(派-x)cosX
求f(x)最小正周期
求f(x)在区间[-6/派,2/派]上的最大值最小值
人气:276 ℃ 时间:2019-08-18 17:28:08
解答
已知函数f(x)=2sin(派-x)cosX求f(x)最小正周期
函数f(x)=2sin(派-x)cosx=2sinxcosx=sin2xf(x)的最小正周期T=2π/2=π
f(x)在区间[-6/派,2/派]上的最大值最小值
x属于[-π/6,π/2]
2x属于[-π/3,π]
x=-π/6 最小值=-√3/2
x=π/4最大值=1
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