Original post by esmeralda123
Why does sin theta + 180 = -sin theta
Look at the graph of . If you translate it to the left by 180 degrees then you will end up with a mirror reflection of the same thing in the x-axis. Hence the two transformations are equal, so we say
Why does sin theta +360 = sin theta
Because sine repeats itself every 360. Just like cosine. Tap repeats every 180 degrees instead.
Simple. Try drawing the normal sin theta but than move the y-axis to +180 on the x axis. than below it draw the -sin theta (its a normal graph but where everything is the opposite. so you start at 0 and go to -1). than youll see that the two graphs are the same. dunno if you need a more mathematical way of working it out.
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