CosA +sinA=√2 cosA,show thatCosA-sinA=√2 sinA
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(CosA + sinA)^2 + (cosA - sinA)^2 = 2cos^2 A + (cosA - sinA)^2
2 = 2cos^2 A + (cosA - sinA)^2
2(1 - cos^2 A) = (cosA - sinA)^2
2sin^2 A = (cosA - sinA)^2
CosA -sinA = √2 sinA or -√2 sinA
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