Question

y=sin(x+pi/4)
Find the zero(s) of f on the interval [0, 2π). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Answer 1

\[\sin(0)=0\] so you need
\[x+\frac{\pi}{4}=0\] solve for x get
\[x=-\frac{\pi}{4}\] but of course that is not in your interval, so add \(\pi\) and get
\[x=\frac{3\pi}{4}\]

Answer 2

x+pi/4=pi*k where k in an integer

Answer 3

then add \(\pi\) again and get
\[x=\frac{7\pi}{4}\]

Answer 4

oh thank so much=)

Answer 5

why do i add pi, not 2pi?