(1-sinA+cosA)²=2(1+cosA)(1-sinA)
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Answer:
Step-by-step explanation:
L.H.S=(1-sinA+cosA)²=1+sin²A+cos²A-2sinA-2sinAcosA+2cosA
=1+1-2sinA-2sinAcosA+2cosA
=2(1-sinA-sinAcosA+cosA)
R.H.S=2(1+cosA)(1-sinA)
=2(1-sinA-sinAcosA+cosA)
L.H.S=R.H.S
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