29 . A
The first number in the function gives the amplitude of the function. A sine curve like the
one in the function moves up and down between this value and its inverse. So the range of
values is the real numbers between −7 and 7.
You could use a graphing calculator to answer this question by observing the range of y
values for the function.
30 . C
You can find the distance by using the distance formula twice. First, calculate the distance
from A to the vertex on the bottom right side of the same face. The vertical distance is 12
(the height), and the horizontal distance is 9, since A is above the midpoint of the edge of the
solid.
The distance between A and B is the hypotenuse of the right triangle with sides of length 15
and 21. So you can use the distance formula again.
31 . A
Start by finding the positive square roots of sin^2 x and cos^2 x:
Next, use the double angle formulas to simplify sin 2x and cos 2x:
Therefore,