Trigonometry Inventory
6. For the right triangle shown, find x and y in terms of r and .
x=
y=
7. Sketch sin(x) versus x. Label both axes for one period.
8. Sketch cos(x) versus x. Label both axes for one period.
9. Which of the following is true? (choose all that apply)
(a) the slope of the sin(x) curve = the cos(x) curve
(b) the slope of the sin(x) curve = the negative of the cos(x) curve
(c) the slope of the cos(x) curve = the sin(x) curve
(d) the slope of the cos(x) curve = the negative of the sin(x) curve
(e) don’t know
10. A changing height in time is described by y = 3 sin  t, where y is in meters and t is in
seconds.
(a) What is the lowest height that y reaches? Sketch and explain.
(b) At what time does y reach that height? Derive and explain.
11. Please circle or fill in the true response for each statement below.
I did this pretest
with / without
using resources such as a text.
I did this pretest at home /
in class
I spent approximately _____ minutes on this pre-calculus pre-test.