How would I graph y = cos x + sin x for -2π ≤ x ≤ 2π and -4 ≤ y ≤ 4 ?
I'm not sure how I would graph this on my calculator.... I also need to find the amplitude, period, and phase shift....
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I'm not sure how I would graph this on my calculator.... I also need to find the amplitude, period, and phase shift....
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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