sin(a-兀/4)=√2/3,求sina已知sin(a-兀/4)=√2/3求sina

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sin(a-兀/4)=√2/3,求sina已知sin(a-兀/4)=√2/3求sina
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sin(a-兀/4)=√2/3,求sina已知sin(a-兀/4)=√2/3求sina
sin(a-兀/4)=√2/3,求sina
已知sin(a-兀/4)=√2/3
求sina

sin(a-兀/4)=√2/3,求sina已知sin(a-兀/4)=√2/3求sina
sin(a-兀/4)=(√2/2)(sina-cosa)=√2/3
所以:sina-cosa=1/6
两边平方得:1+sin2a=1/36
sin2a=-35/36
cos2a=±√71/36
sina=±√[1-cos2a]/2

sin(a-兀/4)展开得到:sina × sin兀/4 -cosa × cos兀/4=√2/3
再加上sina平方加上cosa平方等于1,联立求解就行

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