SOLUTION: Let (-4,-1) be a point on the terminal side of an angle theta in standard position. Find the measure of angle theta. Thanks

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Question 972628: Let (-4,-1) be a point on the terminal side of an angle theta in standard position. Find the measure of angle theta. Thanks
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
(-4,-1) This is in the third quadrant, so theta is more than 180 degrees. The hypotenuse is the distance to the point or sqrt(17). sin is negative and is (1/17). The arc sin of that is 3.37 degrees, so theta is 183.37

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Let (-4,-1) be a point on the terminal side of an angle theta in standard position. Find the measure of angle theta.
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tan = y/x = 1/4
atan(1/4) =~ 14 degs
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The point is in Q3 --> 14 + 180
= 194 degs