Question

Reflecting the graph y=sin x across the y-axis is the same as reflecting it across the x-axis.

True or False

Answer 1

FALSE

Answer 2

Draw out what the sine graph looks like first.

Answer 3

false

Answer 4

why don't we actually check it instead of guessing

Answer 5

i will send two pictures one of
\[-\sin(x)\] and the other of
\[\sin(-x)\] and we can see if they are the same

Answer 6

before we go ahead an say "false" maybe we can remember that sine is an odd function, so it is always the case that
\[\sin(-x)=-\sin(x)\]

Answer 7

http://www.wolframalpha.com/input/?i=-sin%28x%29

http://www.wolframalpha.com/input/?i=sin%28-x%29