Question

what are the x intercepts of y=sinpix+cospix?!!!

Answer 1

\[\sin(\pi x)=-\cos(\pi x)\]
\[\pi x = \frac{3\pi}{4}\] \[x=\frac{3}{4}\] is one answer, but there are infinitely many

Answer 2

3/2?

Answer 3

that was wrong
\[x=\frac{3}{4}\]
\[x=\frac{7}{4}\]
etc

Answer 4

ah ok so 11/4 too?

Answer 5

yes

Answer 6

\[x=\frac{3\pi}{4}+k, k\in \mathbb{Z}\]

Answer 7

oh ok thank you, can you help me with another question please?