(1+sinA-cosA )/(1+sinA-cosA) square = 1_cosA/1+cosA
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Step-by-step explanation:
Left Hand Side = (1 + sinA - cosA ) ÷ (1 + sinA + cosA)²
= (1 + sin²A + cos²A + 2sinA - 2sinAcosA - 2cosA) ÷ (1 + sin²A + cos²A + 2sinA + 2sinAcosA + 2cosA)²
=(1 + 1 + 2sinA - 2sinAcosA - 2cosA) ÷ (1 + 1 + 2sinA + 2sinAcosA + 2cosA)²
= 2(1 +sinA) - 2cosA (sinA + 1 ) ÷ 2(1 + sinA) + 2cosA(sinA +1 )²
= 2(1 + sinA) [1 - cosA] ÷ 2(1 + sinA )(1 + cosA )²
= ( 1 - cosA ) ÷ ( 1 + cosA )²
= Right Hand Side
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