Sin (п/4+x) = sqrt2/2(sinx+cosx)

Question

Sin (п/4+x) = sqrt2/2(sinx+cosx)

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Answer 1

√2/2(sinx+cosx)=√2/2sinx+√2/2cosx=sin(π/4+x)
sin(π/4+x)=sin(π/4+x)