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数学
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已知w>0且函数f(x)=cos^2wx-sin^2wx的最小正周期为TT,则f(x)在[TT/3,5TT/6]上的最大值为?
人气:419 ℃ 时间:2020-02-03 05:12:10
解答
f(x)=cos2wx
最小正周期T=2π/2w=π,则有w=1.
故f(x)=cos2x.
π/3<=x<=5π/6
2π/3<=2X<=5π/3
所以-1<=cos2x<=1/2.
故f(x)的最大值是:1/2,当X=5π/6时取得.
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