Solve (sin x + cos x)(sin x + cos x)

Solve (sin x + cos x)(sin x + cos x)

Solve \((\sin x + \cos x)(\sin x + \cos x)\)

Answers (1)

Use Distributive Property of FOIL method to obtain:
\(\sin^{2}x+2\sin x\cos x+\cos^{2}x\)
Use the identity: \(\sin^{2}x+\cos^{2}x=1\)
\(=1+2\sin x\cos x\)
Use the double-angle identity: \(\sin^{2}x=2\sin x\cos x\)

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