I suggest that you "memorize" the shape and graph of the sine, cosine and tangent functions.
That way you can tell where the angle ß in such equations as sinß = 0 is.
You are correct to notice that those angles do not lie in a particular quadrants, so they are considered special cases.
e.g. sin 180º = 0
while sin 179º is positive
and sin 181º is negative.
We would have not problem deciding where 179 and 181 lie, would we?
I'm trying to find out which quadrant some trigonometric functions lie in. The problem is one of them is equal to zero, and zero is neither positive or negative. How do I determine which quadrant it belongs in then???
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