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WorksheetsIntro to Sine and Cosine
Total questions: 20
Worksheet time: 10mins
Name
Class
Date
1.
Refresher: how many radians in a full circle?
a)
π
b)
π/2
c)
2π
d)
3π/2
2.
Refresher: what is the area of the unit circle?
a)
π
b)
π/2
c)
π/3
d)
2π
3.
Refresher: what is 45° in radians?
a)
π
b)
π/2
c)
π/3
d)
π/4
4.
Refresher: what is the length of the radius of the unit circle?
a)
1
b)
π
c)
π/2
d)
2π
5.
Cosine refers to which aspect of the unit circle?
a)
The x-coordinate of the "dot" as it moves around.
b)
The y-coordinate of the "dot" as it moves around.
c)
The slope of the radius as it moves around.
6.
Sine refers to which aspect of the unit circle?
a)
The x-coordinate of the "dot" as it moves around.
b)
The y-coordinate of the "dot" as it moves around.
c)
The slope of the radius as it moves around.
7.
What is sin0°?
a)
0
b)
1/2
c)
√2/2
d)
1
8.
What is cos0°?
a)
0
b)
1/2
c)
√2/2
d)
1
9.
What is sin(π/4)?
a)
0
b)
1/2
c)
√2/2
d)
1
10.
What is cos(π/4)?
a)
0
b)
1/2
c)
√2/2
d)
1
11.
What is the greatest value that the sine function can ever output?
a)
0
b)
1/2
c)
√2/2
d)
1
12.
What is sinπ?
a)
0
b)
1
c)
-1
d)
1/2
13.
What is cos270°?
a)
0
b)
1/2
c)
-1
d)
1
14.
What is cos(-π/4)?
a)
0
b)
1/2
c)
1
d)
√2/2
15.
What is sin(5π/4)?
a)
0
b)
1/2
c)
√2/2
d)
-√2/2
16.
What is the Pythagorean Theorem?
a)
a² + b² = c²
b)
a² - b² = c²
c)
A = ½ab⋅sinC
d)
a² + b² + c² = 1
17.
Which angle would have an x-coordinate of 1?
a)
0
b)
2π
c)
π/2
d)
π
18.
Which angle would have a y-coordinate of -1?
a)
3π/2
b)
2π
c)
π/2
d)
π
19.
Which angle would have an x-coordinate of √2/2?
a)
π/4
b)
π/3
c)
π/2
d)
π
20.
Which angle would have a y-coordinate of -√2/2?
a)
π/4
b)
5π/4
c)
5π/6
d)
π
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