SIN^2 A+SIN^2 B-SIN^2 A*SIN^2 B+COS^2 A*COS^2 b等于 1有谁会啊 教教

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SIN^2A+SIN^2B-SIN^2A*SIN^2B+COS^2A*COS^2b等于1有谁会啊教教SIN^2A+SIN^2B-SIN^2A*SIN^2B+COS^2A*COS^2b等于1有谁会啊教教

SIN^2 A+SIN^2 B-SIN^2 A*SIN^2 B+COS^2 A*COS^2 b等于 1有谁会啊 教教
SIN^2 A+SIN^2 B-SIN^2 A*SIN^2 B+COS^2 A*COS^2 b等于 1
有谁会啊 教教

SIN^2 A+SIN^2 B-SIN^2 A*SIN^2 B+COS^2 A*COS^2 b等于 1有谁会啊 教教
SIN^2 A+SIN^2 B-SIN^2 A*SIN^2 B+COS^2 A*COS^2 B
=SIN^2 A+SIN^2 B-SIN^2 A*(1-COS^2 A)+(1-SIN^2 A)*COS^2 B
=SIN^2 A+SIN^2 B-SIN^2 A+SIN^2 ACOS^2 A+COS^2 B-SIN^2 A*COS^2 B
=SIN^2 A+SIN^2 B-SIN^2 A+COS^2 B
=SIN^2 B+COS^2 B
=1