计算:sin^67.5°-cos^67.5度
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计算:sin^67.5°-cos^67.5度计算:sin^67.5°-cos^67.5度计算:sin^67.5°-cos^67.5度sin^2(67.5°)-cos^2(67.5°)=-(cos^2(
计算:sin^67.5°-cos^67.5度
计算:sin^67.5°-cos^67.5度
计算:sin^67.5°-cos^67.5度
sin^2(67.5°)-cos^2(67.5°)= -(cos^2(67.5°)-sin^2(67.5°))=-cos(2*67.5°)=-cos135°=√2/2
和差化积一下不就出来了?
sin67.5°-cos67.5° = sin67.5°-sin22.5° = cos(45°)sin22.5°
而根据倍角公式,1-2[cos22.5°]^2 = cos45°,你可以得到sin22.5°
这样就出来了
计算:sin^67.5°-cos^67.5度
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