March 10, 2014
4-3
Graphs of Tangent,
Cotangent, Secant and
Cosecant Functions
Without using a calculator, give the value of the following.
tan 0 =
tan (3∏/2) =
tan (3∏/4) =
tan (∏/2) =
tan 2∏ =
tan (∏) =
tan (∏/4) =
tan (5∏/4) =
tan (7∏/4) =
2
Period:
1
-2
-
3
2
-
-
2
2
3
2
2
5
3
2
-1
-2
Without using a calculator, give the value of the following.
cot 0 =
cot (3∏/2) =
cot (∏/2) =
cot (3∏/4) =
cot 2∏ =
cot (∏) =
cot (5∏/4) =
cot (∏/4) =
cot (7∏/4) =
2
Period:
1
-2
-
3
2
-
-
2
2
3
2
2
5
3
2
-1
Amplitude:
-2
Examples
Graph the functions over the indicated intervals.
y = cot(½x),
-2π ≤ x ≤ 2π
y = 2tan(⅓x),
-3π ≤ x ≤ 3π
Amplitude:
March 10, 2014
y = tan(x + π/4),
y = cot(2x - π),
-π ≤ x ≤ π
-2π ≤ x ≤ 2π
y = -cot(x + π/2),
-π ≤ x ≤ π