
求sin²10°+cos²40°+sin10°cos40°要详细解题步骤并说明为什么答案是3/4
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原式=sin^10°+cos^(10°+30°)+sin10°cos(10°+30°)
=sin^10°+3/4cos^10°+1/4sin^10°-1/2sin^10°
=3/4(sin^10°+cos^10°)
=3/4
=sin^10°+3/4cos^10°+1/4sin^10°-1/2sin^10°
=3/4(sin^10°+cos^10°)
=3/4
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