Question

the x and y-intercepts of f(x)=sin(x+π/2)

Answer 1

yes

Answer 2

I mean how would you find intercepts normally?

Answer 3

y-intercept, if any, substitute x = 0. That's it. With a function, this is not normally very difficult.

x-intercept, if any, substitute y = 0. This can be a bit trickier.

Answer 4

so the x-intercept would be (π/2,0)?

Answer 5

No. That might be one of them.

\(\sin(x + \pi/2) = 0 \implies x + \pi/2 = 0 + k\pi\) where k is ANY Integer.

Thus, \(x = -\pi/2 + k\pi\) and since we can pick ANY integer, we see that there are infinitely many x-interecepts.

Answer 6

ok thank you!