已知sin(45°-α)=√2/10(0° ∠α ∠90°),则cosα=多少?

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已知sin(45°-α)=√2/10(0°∠α∠90°),则cosα=多少?已知sin(45°-α)=√2/10(0°∠α∠90°),则cosα=多少?已知sin(45°-α)=√2/10(0°∠α∠

已知sin(45°-α)=√2/10(0° ∠α ∠90°),则cosα=多少?
已知sin(45°-α)=√2/10(0° ∠α ∠90°),则cosα=多少?

已知sin(45°-α)=√2/10(0° ∠α ∠90°),则cosα=多少?
sin(45°-α)=√2/10(0° ∠α ∠90°) 所以得到45°-α为锐角,得出cos(45°-α)=3√2/10
cosa=sin(90°-α)=sin(45°+45°-α)=sin45°cos(45°-α)+cos45°sin(45°-α)=√2/2x
√2/10+√2/2x3√2/10=2/5
cosa=2/5