My Math Forum Cosine graph, sine graph basics confusion

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 February 7th, 2013, 08:06 AM #1 Senior Member   Joined: Sep 2012 Posts: 201 Thanks: 1 Cosine graph, sine graph basics confusion I have gotten a bit confused to why these rules work for sine and cosine graphs. My confusion stems from I can't really see what they mean literally. The rules are: sin x = sin(180+x) and cos x = cos(360-x). I know it has something to do with symmetry, but I can't seem to connect the dots. Thanks in advance.
 February 7th, 2013, 10:07 AM #2 Global Moderator   Joined: Dec 2006 Posts: 19,951 Thanks: 1842 The first rule should be sin x = -sin(180+x). Have you looked at the graphs of sin(x) and cos(x) to see what symmetries exist? Alternatively, consider how these functions are defined in relation to the unit circle and what symmetries of the unit circle correspond to the two rules.

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