WorksheetsGraphing Trigonometric Functions
Total questions: 33
Worksheet time: 40mins
y=csc(x)
y=sec(x)
y= tan(x)
Describe the horizontal and vertical shifts.
left π , up 4
left π , down 3
right π , up 4
right π , down 3
What is the period of the equation shown?
3π
2π
3π / 2
2π / 3
What is the equation of the graph shown?
y = 3sin(θ + π/4) - 1
y = 3cos(θ - π/4) -1
y = 3sin(θ - π/4) + 1
y = 3cos(θ + π/4) + 1
What is the equation for the graph shown.
y = 4sinθ - 2
y = 3tcosθ - 1
y = 2tanθ - 4
y = 2-4tanθ + 2
What is the equation of the graph shown?
y = tanθ/2
y = tan2θ
y = tanθ/4
y = tan4θ
What is the equation of the graph shown?
y = 4cosθ/2 - 6
y = 4cosθ/2 - 2
y = -2cosθ/4 - 2
y = 4cosθ/4 + 2
What is the equation of the graph shown?
y = -sinθ -1
y = -sinθ/2 -1
y = -2sin2θ + 1
y = sinθ/2 + 1
Describe the horizontal shift.
left 3π / 4
left 4π / 3
right 3π
right 3π / 4
What is the amplitude of
y = -3sin (7x) -2
7
-2
3
-3
Name the function and how many units the graph shifted vertically.
sine, 2 units up
cosine, 2 units down
cosine, 2 units up
sine, 2 units up
Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.
y = 5cos(x - pi) + 3
y = 3cos(x - pi) + 5
y = 3cos(2x - pi) + 5
y = 5cos(2x - pi) + 3
1. Find the phase shift of the graph of the function
y=2cos6(x+6π)
π units right
π units left
6π units right
undefined units left
Where does the graph of cosine begin?
(0,0)
(0,1)
(0, Pi)
(1, Pi)
Where does the graph of y=sin(x) begin its first cycle?
(0,0)
(1,0)
(0,Pi)
(1, Pi)
What does cos(0)= ?
1
0
-1
Undefined
What does sin(π) = ?
1
0
-1
Undefined
What does tan(0) = ?
1
0
-1
Undefined
What does sin(0) = ?
1
0
-1
Undefined
What does tan(3π/4) =
1
0
-1
Undefined
R: [-1, 1]
R: [-π, π]
R: [-1, 1]
R: [-∞, ∞]
Which trigonometric functions have no amplitude?
cotangent
cosine
secant
tangent
cosecant
Which trig function is graphed above?
secant
cotangent
cosecant
tangent
Which trig function is graphed above?
cotangent
tangent
secant
cosecant
