Question

How would I convert y = sinx+cosx into the y=Asin(x+c) form?

Answer 1

using angle sum identity
Asin(x+c) = Asinxcosc + Acosxsinc
this equals sinx + cosx only if:
Acosc = 1
Asinc = 1
--> sinc = cosc = 1/A
c = pi/4
A = sqrt2

Answer 2

http://www.ies.co.jp/math/java/trig/graphSinCosX/graphSinCosX.html

Answer 3

thanks for the useful explanation and the very helpful link cinar! I'm going to review it to make sure I understand it