SOLUTION: 1. Explain how you can use the unit circle to find tan 180°. 2. If sin θ = -0.891, what are two values of θ between 0° and 360°?

Algebra ->  Trigonometry-basics -> SOLUTION: 1. Explain how you can use the unit circle to find tan 180°. 2. If sin θ = -0.891, what are two values of θ between 0° and 360°?      Log On


   



Question 1139953: 1. Explain how you can use the unit circle to find tan 180°.
2. If sin θ = -0.891, what are two values of θ between 0° and 360°?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
180 degrees is 1/2 of a full rotation from
0 degrees. The +sin%28180%29+ = vertical/ unit vector
= +0%2F1+ which is zero
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The sine is negative in the 3rd and 4th quadrants
+arcsin%28+-.891+%29+=+63+ degrees
+theta+=+180+%2B+63+
+theta+=+243+
and
+theta+=+360+-+63+
+theta+=+297+
check the math