Take A=90° and B=45° to verify that:
Sin(A-B) = sinAcos - CosAsinB
Cos(A-B) = cosAcosB + sinAsinB
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Step-by-step explanation:
sin(a-b)=sinAcosB-cosAsinB
sin(90-45)=sin90cos45-cos90sin45
sin45=(1)(1/√2)-(0)(1/√2)
sin45=1/√2
Cos(A-B) = cosAcosB + sinAsinB
Cos(90-45)=cos90cos45+sin90sin45
cos45=(0)(1/√2)+(1)(1/√2)
cos45=1/√2
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