I may be over-thinking this, but I am thoroughly confused. Okay, so the question is:
For what value of theta between 0 and 2pi is cot=0 and sin< 0?
From SOH-CAH-TOA I know that sine is opposite/hypotenuse and cot is the opposite of tangent so it's adjacent/opposite. So pulling out my unit circle I start thinking about special triangles and try to work with 30-60-90 and 45-45-90 looking for the combination of adjacent and opposite's that will equal 0. I was trying to use the degrees in the special triangles. For example: the cot of 45 is 1/1, for 60 its 1/root of 3, and for 30 it's root of 3/1. Obviously none of those equal zero and I don't know where to go from there. Help?
For what value of theta between 0 and 2pi is cot=0 and sin< 0?
From SOH-CAH-TOA I know that sine is opposite/hypotenuse and cot is the opposite of tangent so it's adjacent/opposite. So pulling out my unit circle I start thinking about special triangles and try to work with 30-60-90 and 45-45-90 looking for the combination of adjacent and opposite's that will equal 0. I was trying to use the degrees in the special triangles. For example: the cot of 45 is 1/1, for 60 its 1/root of 3, and for 30 it's root of 3/1. Obviously none of those equal zero and I don't know where to go from there. Help?
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