I'm not sure how I would graph this on my calculator.... I also need to find the amplitude, period, and phase shift....

cosx+ sinx

=sqrt(2)(1/sqrt(2)cosx + 1/sqrt(2) sinx)

=sqrt(2)[sin(pi/4)cosx + cos(pi/4)sinx]

=sqrt(2) sin(pi/4 + x)

Thus,

Amplitude is sqrt(2)

Period is 2pi

Phase shift is shift to the left pi/4 from y = sinx

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## Verified answer

cosx+ sinx

=sqrt(2)(1/sqrt(2)cosx + 1/sqrt(2) sinx)

=sqrt(2)[sin(pi/4)cosx + cos(pi/4)sinx]

=sqrt(2) sin(pi/4 + x)

Thus,

Amplitude is sqrt(2)

Period is 2pi

Phase shift is shift to the left pi/4 from y = sinx