Trigonometric Functions and the Unit Circle
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary purpose of the unit circle in trigonometry?
To define trigonometric functions for angles greater than 90 degrees and negative angles.
To simplify the calculation of trigonometric functions.
To replace the traditional SOHCAHTOA definition.
To provide a visual representation of angles.
Tags
CCSS.HSF.TF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the unit circle and the traditional SOHCAHTOA definition?
The unit circle contradicts SOHCAHTOA.
The unit circle is an extension of SOHCAHTOA.
The unit circle simplifies SOHCAHTOA.
The unit circle is a replacement for SOHCAHTOA.
Tags
CCSS.HSF.TF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sine of 275 degrees on the unit circle?
-0.819
0.819
-0.996
0.996
Tags
CCSS.HSF.TF.A.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the sine of a negative angle, such as -55 degrees, determined on the unit circle?
By finding the x-coordinate of the point.
By finding the y-coordinate of the point.
By calculating the angle clockwise from the positive x-axis.
By using the cosine function.
Tags
CCSS.HSF.TF.C.9
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sine of 285 degrees?
0.819
-0.819
-0.966
0.966
Tags
CCSS.HSF.TF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate decimal value of the sine of 2/3 pi radians?
0.819
0.866
0.259
0.996
Tags
CCSS.HSF.TF.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the value 0.866 in the context of the unit circle?
It is the cosine of 2 pi radians.
It is the sine of 15 degrees.
It is the cosine of 112 pi radians.
It is the sine of 2/3 pi radians.
Tags
CCSS.HSF.TF.C.9
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