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The size of the circle is immaterial, there are an infinite number of plottable angles.
Yes and they are both acute angles
The right angle = 90 degree. If x is an angle and if these 3 angles are equal then x + x + x = 90 3x = 90 x = 90/3 x = 30 degree So, the angle is 30 degree each.
On the unit circle, at 30 degrees the point is ( sqrt(3)/2 , 1/2 ) Cosine "represents" the x value (x, y) Therefore: cos(30) = sqrt(3) / 2 It is highly advisable for you to memorize the unit circle -- at least the quadrant I angles (0, 30, 45, 60, and 90). I'll include a link to a good unit circle reference in the related links.
The answer depends on:(1) what function, and (2) where do you want to get it - on a calculator, computer, in your head?