Pre-Calculus
WS 8-2: Cotangent Function
Name:
Pd:
1. What is the period for the Parent Function y = cot(x)?
2. Where are the asymptotes for y = cot (x)?
- Qg.
Graph 2 full cycles of the following equations. Graph one cycle on either side of the y-axis. Consider
x being radian measure and 9 being degree measure.
3. y = cot-6>
y
2
Asymptotes:
y
4.
=
5. y = -3cot(x +
Asymptotes:
Y+-TT ^0
Y ~-
Asymptotes:
Asymptotes:
-IT
Find the period of the following functions:
8. j; = cot-
9. y = — cot;o;
,.,
1
n . n.
10. v = — cot—(x + —)
4
2
4
11. For what values of "x" in radians on the unit circle (-2n, 2ri), will the equations be true
a. cot x = 1
b.
c.
d. cotx = —
(2,