What is the x-coordinate of the cosine of π/6 on the unit circle?

Reference Triangles and Trigonometric Functions

Interactive Video
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Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
1/2
√3/2
0
1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-coordinate of the sine of π/6 on the unit circle?
0
1/2
√3/2
1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens if a point is not on the unit circle?
We use reference triangles
We ignore the point
We use a different circle
We cannot use trigonometric functions
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a reference triangle?
A triangle with no right angle
A triangle with all sides equal
A triangle used to calculate angles
A triangle used to express trig functions for points not on the unit circle
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a reference triangle, what do we call the known point?
p, q
x, y
a, b
m, n
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we express cosine of θ using a reference triangle?
Adjacent over opposite
Opposite over hypotenuse
Adjacent over hypotenuse
Hypotenuse over adjacent
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the hypotenuse in a reference triangle?
r = √(x^2 + y^2)
r = x^2 + y^2
r = x + y
r = x/y
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using reference triangles?
To express trig functions for points off the unit circle
To simplify calculations
To find the area of a triangle
To avoid using the unit circle
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