Tangent and Cotangent Graphs
T angent :Cotangent :
–3
–2
–1
0
1
2
3
y
–6 –4 –2 2 4 6
x
–3
–2
–1
0
1
2
3
y
–6 –4 –2 2 4 6
x
F unction :f(x) = tan(x)F unction :f(x) = cot(x)
P eriod :π P eriod :π
Domain :x6=π
2+n
πDomain :x6=nπ
Range : (−∞,∞)Range : (−∞,∞)
V erticalAsymptote :x=π
2+n
πV erticalAsymptote :x=nπ
Problem 5.
Sketch the graph of the following function:
f(x) = 5
3cot(x)
Solution Step 1:
Since the expression inside the cotangent is simply x, the asymptotes
won’t move from 0 and π.