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Hi

Between 0 and 90, cos(t) = 1/2 when t = 60. If you draw the line x = 1/2 on the unit circle, you'll see that it intersects the circle twice; one point where the angle of the intersection point and the origin is 60 degrees (what we got) and one that is 300 degrees. Therefore the answer is t = 60* and t = 300*.

I hope this helps!

REmember, cosine is the ratio of the adjacent side and the hypotenuse. Also remember that a negative number divided by a negative number results in a positive number, so quadrant IV would also also have a positive cosine

In this case, you have to remember that a 30/60/90 triangle has a ratio of x, sqrt3 times x and 2x, so we're looking at the cosine of 60 degrees is 1/2 and also the cosine of 300 degrees as well.

the cosine of an angle is the x-value it represents on a unit circle, so just from memorizing the unit circle, I know what angles have a cosine value of 1/2. Look at this. It'll give you your answer. All angles with the x-coordinate equal to 1/2 (not -1/2...be careful!) are your answers. http://www.google.com/imgres?imgurl=http://teacher...

Your answers are 60 degrees, or pi/3 and 300 degrees, or 5pi/3