Evaluating Trig Ratios with the Unit Circle
Presentation
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Mathematics
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9th - 12th Grade
•
Practice Problem
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Easy
Standards-aligned
Karen Escobedo
Used 58+ times
FREE Resource
4 Slides • 6 Questions
1
Evaluating Sine & Cosine with the Unit Circle
Goal: Students will be able to evaluate sine and cosine using the Unit Circle
2
Using the Unit Circle
to evaluate sine and cosine, we use the coordinates that lie on the Unit Circle's circumference
cosine of an angle is equal to the length of the reference triangle's adjacent side and is represented by the x-coordinate
sine of an angle is equal to the length of the reference triangle's opposite side and is represented by the y-coordinate
3
Evaluating Cosine
cos(θ) = x-coordinate of the point associated with that angle
cos(270°) = 0
cos(π/6) = √3/2
cos(2π/3) = -1/2
4
Multiple Choice
Evaluate cos(135°)
5
Multiple Choice
Evaluate cos(11π/6)
6
Fill in the Blanks
Evaluate cos(90°)
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7
Evaluating Sine
sin(θ) = y-coordinate of the point associated with that angle
sin(4π/3) = -√3/2
sin(0) = 0
sin(135°) = √2/2
8
Multiple Choice
Evaluate sin(60°)
9
Multiple Choice
sin(7π/6)
10
Multiple Choice
sin 180°
Evaluating Sine & Cosine with the Unit Circle
Goal: Students will be able to evaluate sine and cosine using the Unit Circle
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