PLEASE HELP: Prove The Identity

Mathematics
Tutor: None Selected Time limit: 1 Day

Prove the identity: 

cos (x - π/4) = √(2)/2 •(cos x + sin x)

Please show all work

May 8th, 2015

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

May 8th, 2015

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