Question
Download Solution PDFIf cos x + sin x = √2 cos x, what is the value of (cos x - sin x)2 + (cos x + sin x)2?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula Used :
Sin2x + Cos2x = 1
Calculation :
(cos x - sin x)2 + (cos x + sin x)2
⇒ cos2x + sin2x - 2cosx.sinx + cos2x + sin2x + 2sinx.cosx
⇒ 2cos2x + 2sin2x
⇒ 2(cos2x + sin2x)
⇒ 2
∴ The correct answer is 2.
Last updated on Jul 17, 2025
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