WorksheetsTrigonometry on the Coordinate Plane in Radians
Total questions: 28
Worksheet time: 2hrs 16mins
y = 3sin (7x) -2
Which value in y=asin(b(x-h)+k represents the number of cycles in 2π?
a
b
h
k
Which is the graph of y=cos(θ) ?
A
B
C
D
y= 4 cos (5x)
y= -3 sin(x)
What is the amplitude of
y = -3 cos 2x?
-3
2
π
3
What is the reference angle for 265o?
25o
65o
85o
95o
Describe the transformations of y=2sin(θ-π)-3
Vertical stretch, left π, down 3
Vertical compression, right π, down 3
Vertical stretch, right π, down 3
Horizontal stretch, right π, down 3
What is the period of either graph?
y = sin(x) & y = cos (x)
π
2π
π/2
π/4
What is the equation for a cosine function that has an amplitude of 4, is reflected over the x-axis, has a period of 2π, is shifted left π and up 2.
y = 4 cos(x +π) + 2
y = -4 cos(x +π) + 2
y = -4 cos(2(x -π)) + 2
y = 4 cos(x +π) + 2
What are the exact coordinates of 360o?
(0,0)
(1,0)
(0,1)
(-1,0)
Which is equal to tan(0o)?
0
1
-1
undefined
Which angle has the exact coordinates of (-1/2, √3/2)
60o
120o
150o
210o
Convert 2π/7 to degrees.
51.42o
89.76o
161.57o
630o
Convert 340o to radians
.94π
9π/17
17π/9
4π/3
Solve for x: log(45)-log(x)=log(5)
log(9)
log(40)
40
9
Solve for x: log3(x+5)=2
1
4
14
241
Once again you were riding the Screamer and the darn thing stopped when you were 46 feet above ground. At what angles could you be stuck? Remember: the radius of the Screamer is 100 feet.
46o & 134o
27.39o & 152.61o
27.39o & 207.39o
27.39o, 152.61o, 207.39o, 332.61o
The Screamer stopped at 74o. How high above the ground are you?
.96 feet
27.57 feet
74 feet
96.13 feet
Lucky you got a Rizzo bobble head at the Cubs game! It is worth $50 if you sell it on eBay right now, but you heard that it will increase 6% per month if you wait to sell it. How long do you have to hold out to so it will be worth $100?
1.36 months
1.47 months
11.90 months
67.14 months
