Final answer:
Using parametric equations, the unit circle can be drawn on a calculator in degree mode with 'scale of 5' indicating graph increments. To find where cos(t) = -1/2 between 0 and 360 degrees, look at the angles 240 degrees and 300 degrees, which correspond to this cosine value.
Step-by-step explanation:
To graph the unit circle using parametric equations on a calculator set to degree mode, you would typically input the following equations:
- x(t) = cos(t)
- y(t) = sin(t)
Here, t represents the angle in degrees, which can range from 0 to 360. When the question involves a 'scale of 5,' it's generally referring to the increments on the axes of the graph, meaning each tick mark on both x and y axes represents 5 units.
Now, to find all values of t between 0 and 360 degrees where cos(t) = -1/2, we search for the angles that correspond to this cosine value. In the unit circle, the cosine of an angle t corresponds to the x-coordinate of the point on the circle. The cosine of an angle reaches -1/2 at 240 and 300 degrees. These angles are found in the second and third quadrants respectively, where the x-coordinate (cosine value) is negative.
Therefore, the values of t satisfying cos(t) = -1/2 within 0 to 360 degrees are 240 degrees and 300 degrees.