信阳市肿瘤医院招聘:化简:sin^2(A-30)+sin^2(A+30)-sin^2A

来源:百度文库 编辑:神马品牌网 时间:2024/05/03 03:00:44

sin^2(A-30)+sin^2(A+30)-sin^2A
=[1-cos(2A-60)]/2+[1-cos(2A+60)]/2+(cos2A-1)/2
=1/2-(cos2Acos60+sin2Asin60)-(cos2Acos60-sin2Asin60)+cos2A
=1/2-2cos2Acos60+cos2A
=1/2

sin^2(A-30)+sin^2(A+30)-sin^2A
=(sin(A-30)+sin(A+30))^2-2sin(A-30)sin(A+30)-4sin^2Acos^2A
=(1/2)sin^2A+(3/2)cos^2A-4sin^2Acos^2A
=4sin^4A-5sin^2A+(3/2)

我有八年没有做过了,可能做错了,呵呵,别见怪哈。