SOLUTION: What are all the positive angles Q in degree for which cos Q = square root 3/2?

Question 443343: What are all the positive angles Q in degree for which cos Q = square root 3/2?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Think about your 30�, 60�, 90� triangle.
Draw a right triangle with angles 30 and 60 to make this easier.
In a 30,60,90
The side opposite the 30� is the shortest side, and it is 1.
The side opposite the 60� is length
The side opposite the 90� is the hypotenuse (longest side) and it is 2.
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I really wish I had a picture to make this easier.
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Try this http://www.google.com/imgres?imgurl=http://www.biology.arizona.edu/BioMath/tutorials/Trigonometric/graphics/trig_30_60_90.gif&imgrefurl=http://www.biology.arizona.edu/BioMath/tutorials/Trigonometric/specialangles.html&h=268&w=393&sz=2&tbnid=0lxAXKWR0X3n7M:&tbnh=85&tbnw=124&prev=/search%3Fq%3D30%2B60%2B90%2Btriangle%26tbm%3Disch%26tbo%3Du&zoom=1&q=30+60+90+triangle&hl=en&usg=__7SUm2hzMWNJUh7c0LUs3K-ybbsY=&sa=X&ei=uM-9TdvSEdKGtwf75ti0BQ&ved=0CC4Q9QEwBQ
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Anyway, if you know sin(x) = opp/hypo, cos(x) = adj/hypo, tan(x) = opp/hypo, then let's practice.
cos(60)? Locate the 60�, Find the adjacent and hypotenuse sides. You have 1/2. So cos(60) = 1/2
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So now that we know how to do it, locate the angle that has adjacent side and hypotenuse 2. That's 30�
But are we done?
Remember
Q1 = All
Q2 = Sin
Q3 = Tangent
Q4 = Cosine
(All Students Take Classes)
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This tells us where each trig function is positive.
We look and see that in Q1 and Q4 cos is positive.
Locate the angle that lays on the x-axis. This is 360�. Then 360� - 30� = 330�, which is our other angle.

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