Prove the identity:
cos (x - π/4) = √(2)/2 •(cos x + sin x)
Please show all work
cos(x-pi/4)=cosxcos(pi/4)+sinxsin(pi/4)=cosx(sqrt2 /2)+sinx (sqrt2 /2) = [(sqrt2) /2](cosx+sinx)
you need to use the trig identity cos(a-b)=cosacosb+sinasinb
let me know if you have any questions thanks
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