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sin(24°+x)cos(21°-x)+cos(24°+x)cos(69°+x)

题目详情
sin(24°+x)cos(21°-x)+cos(24°+x)cos(69°+x)
▼优质解答
答案和解析
sin(24°+x)cos(21°-x)+cos(24°+x)cos(69°+x)
=sin(24°+x)cos(21°-x)+cos(24°+x)sin(90°-69°-x)
=sin(24°+x)cos(21°-x)+cos(24°+x)sin(21°-x)
=sin(24°+x+21°-x)
=sin45°
=√2/2