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Periodic Functions
Find tan θ using the given information and 0<
θ<π/2.
1. cos θ = 0.156 and sin θ = 0.988

tan θ = 6.333
2.
cos θ = 0.961 and sin θ = 0.276
tan θ = 0.287
3.
sin θ = 0.454
tan θ = 0.510
4.
5.
cos θ = 0.848
tan θ = 0.625
If tan θ = 1.111 and cos θ = 0.669, find sin θ.
sin θ = 0.743
Graph y = sin x from -2π < x < 2π.
What is the period of y = sin x?
Consider y = A sin B(x – C) + D
A=
C=
D=
y1 = sin x
period?
y2 = sin 2x
period?
y3 = sin 3x
period?
y4 = sin ½ x
period?
y5 = sin ¼ x
period?
y = A sin B(x – C) + D
period of sin x =
Given an equation, find the period of the function.
y = 3 sin 2x
y = 2 sin 4x + 1
y = sin ½ (x – 1) + 2
y1 = cos x
period?
y2 = cos 2x
period?
y3 = cos 3x
period?
y4 = cos ½ x
period?
y5 = cos ¼ x
period?
y = A cos B(x – C) + D
period of cos x =
Given an equation, find the period of the function.
y = 3 cos x
y = 2 cos 3x + 11
y = cos ½ (x – 5) + 2
On graph paper, graph y = tan x.
When is tangent undefined?
What is the period of tan x?
Consider y = A tan B(x – C) + D
A=
B=
C=
D=
Find the period of the following functions.
1. y = tan 2x
2. y = tan ½ x

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