D7 - TanCot y = tan( x) y = tan( y = cot( x) y = cot

D7 - TanCot
Precalculus Accelerated
Trigonometric Graphs Day 8
Tangent/Cotangent Graphs
Date:____________
Warm Up:
Write a secant equation of the graph:
y = _______________________________
Target: Graph the tangent and cotangent with vertical stretching/shrinking, phase shifts and vertical shifts
1.
amp:
y = tan(x)
per:
D:
R:
even, odd or neither?
Conclusions:
y = tan(Bx) has a period of ___________.
We always graph ____________________ of tangent.
Tangent is ___________________ unless there is a __________________.
2.
amp:
y = cot(x)
per:
D:
R:
even, odd or neither?
Conclusions:
y = cot(Bx) has a period of ___________.
We always graph ____________________ of cotangent.
Cotangent is ___________________ unless there is a ___________________.
- 11 -
D7 - TanCot (page 2)
3.
! %%
" "
y = tan $ !2 $ x + ' '
# #
3&&
amp:
per:
P.S.:
V. S.:
D:
R:
even, odd or neither?
4.
y = cot (3( x + ! ))
amp:
per:
P.S.:
V. S.:
D:
R:
even, odd or neither?
5.
! $$
!1!
y = tan # # x + & &
"2"
2 %%
amp:
per:
P.S.:
V. S.:
D:
R:
even, odd or neither?
- 12 -