What does the unit circle tell us?
Presentation
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Mathematics
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10th Grade
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Practice Problem
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Easy
+2
Standards-aligned
Shalynne Orth
Used 21+ times
FREE Resource
4 Slides • 15 Questions
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Fill in the Blanks
What is the length of the hypotenuse of the triangle? (Think about it as a radius)
OP=
Type answer...
Label OP on your paper.
4
Match
Using θ as a reference angle, mark the triangle sides as Opp, Adj, and Hyp.
Label these on the triangle on your paper.
5
Match
Now, use the given triangle to represent and in terms of the variables given in the diagram.
6
Drag and Drop
In terms of x and y, what does tanθ equal?
tanθ=
In terms of sinθ and cosθ, what does tanθ equal?
tanθ=
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Dropdown
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Dropdown
10
Drag and Drop
Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where:
sine is positive:
sine is negative:
11
Drag and Drop
Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where:
cosine is positive:
cosine is negative:
12
Drag and Drop
Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where:
tangent is positive:
tangent is negative:
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Dropdown
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15
Fill in the Blanks
Suppose you know that for a particular angle, . The related triangle is shown.
Find the missing side length.
Type answer...
16
Dropdown
Given that the missing side has length 3,
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Fill in the Blanks
Suppose you know that for a particular angle, . The related triangle is shown.
If this triangle were superimposed on a circle so that the vertex of was the center of the circle, what would be the radius of the circle?
Type answer...
18
Multiple Choice
Suppose you know that for a particular angle, . The related triangle is shown.
If we know that (i.e., the angle lies between radians and radians), what quadrant on the unit circle is the angle in?
19
Fill in the Blanks
Suppose you know that for a particular angle, . The related triangle is shown.
Given that is in the fourth quadrant,
Type answer...
(type your answer as a fraction)
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