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函数y=cosx平方+sinxcosx的最小正周期是
人气:231 ℃ 时间:2020-02-03 15:22:41
解答
y=(1+cos2x)/2+(sin2x)/2
=1/2(sin2x+cos2x)+1/2
=√2/2(√2/2*sin2x+√2/2cos2x)+1/2
=√2/2(sin2xcosπ/4+cos2xsinπ/4)+1/2
=√2/2sin(2x+π/4)+1/2
所以 T=2π/2=π
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