43 . C
With 5 rotations, the circle covers a total distance equal to 5 times the circumference.
The circumference of a circle of radius 1 is 2π, so 5 times that is 10π. Of that total distance
10 π, is on the incline.
The other is the distance traveled along the x-axis, so the x-coordinate of the
endpoint is
44 . B
Sine is negative in the third and fourth quadrants. Cosine is negative in the second and third,
so I is not necessarily true. Cosecant is 1 over sine, so where sine is negative, so is cosecant.
Therefore II must be true. As for III: Absolute values are always nonnegative. The issue here is
whether sin x + cos x can equal 0.
In fact, if x is , then and ; sin x + cos x = 0 when .
45 . A
Square the answer choices until you find one that gives you 8 − 6 i. Start with choice (A):
46 . E
To find the area of the rectangle, you need the base and height. Both parabolas are
symmetric with respect to the y-axis, so if the x-coordinate of point B is −1.50, the length of
segment BC, which is the base of the rectangle, is twice 1.50, or 3. To find the height of the