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函数y=2sin²x+sin2x的最小正周期是 A.π/4 B.π/2 C.π D.2π
人气:114 ℃ 时间:2020-05-09 09:03:49
解答
y=2(sinx)^2+sin2x=sin2x-cos2x+1=√2sin(2x-π/4)+1
最小正周期为T=2π/2=π,选C.sin2x-cos2x+1=√2sin(2x-π/4)+1这一步怎么转化的啊?求解?好持久的追问sin2x-cos2x+1=√2[(√2/2)sin2x-(√2/2)cos2x]+1=√2(sin2xcosπ/4-cos2xsinπ/4)+1=√2sin(2x-π/4)+1π\4怎么来的?√2/2=sinπ/4=cosπ/4
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