Section 6.7: Tangent Function November 07, 2014
6­7: Tangent Function
6­7: Tangent Function
On the Unit Circle
1.) What is the formula for tangent
2.) Where is the tangent function undefined?
1
y = tan θ
­3π/2
­π
-π/2
­1
π/2
π
3π/2
Nov 28­7:30 AM
y = atan(kθ + c) + h
Period = π
k
Vertical Stretch = a
Phase Shift = -c
k
Vertical Shift = h
Asymptotes - boundary lines the graph does not cross
Asymptotes at beginning & end of period
*Graph is centered around the y­axis.
*Divide period by 2 to put 1/2 the period on each side
*Place asymptotes at ends of period
*Divide each side in half again to get middle point
Nov 10­8:09 AM
Section 6.7: Tangent Function November 07, 2014
Graph the function
1.) y = tan θ
Nov 10­8:14 AM
Graph the function
2.) y = tan θ + 3
4
Nov 10­8:14 AM
Section 6.7: Tangent Function November 07, 2014
Graph the function
3.) y = 3tan (θ/2 - π/4) + 1
Nov 10­8:14 AM
Write a tangent equation
1.) vertical stretch = 3, period = 2π, phase shift = π/2, vertical shift = ­4
2.) vertical shift = 3, phase shift = 7, period = 4, vertical stretch = 9
Nov 26­7:16 AM