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已知cos(x+π/4)=3/5,π/2<x<3π/2,求sin(2x+π/4)的值
人气:356 ℃ 时间:2020-06-27 01:56:03
解答
cos(x+π/4)=√2/2(cosx-sinx)=3/5 cosx-sinx=3√2/5(cosx-sinx)^2=(3√2/5)^21-2sinxcosx=18/25sin2x=7/25cos(x+π/4)=3/5,π/2<x<3π/2x+π/4 位于第4象限 所以5π/2<2x<3πcos2x...
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