sin² A cos² B - cos² A sin² B = sin² A - sin² B
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Step-by-step explanation:
- L.H.S=sin2Acos2B—cos2Asin2B
- ={sin2A×(1–sin2B)}—{(1–sin2A)×sin2B}
- =sin2A–sin2Asin2B–sin2B+sin2Asin2B
- =sin2A–sin2B
- =R.H.S
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