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Trigonemetry, Unit Circle Ratios (Tan, Sec, Csc, Cot) - To Ratio Name (Greek Letter)

Level 2

The math topic practiced in this set of problems focuses on identifying trigonometric ratios associated with specific angles on the unit circle. It covers the tangent (tan), secant (sec), cosecant (csc), and cotangent (cot) functions. Each question displays a diagram of the unit circle highlighting specific dimensions and asks students to determine which trigonometric ratio corresponds to the highlighted section. This involves different angles depicted in radians or degrees, and the students must match these visual representations to the correct trigonometric ratios. Each question provides multiple-choice answers labeled with Greek letters representing the angles.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Trigonemetry, Unit Circle Ratios (Tan, Sec, Csc, Cot) - To Ratio Name (Greek Letter) Worksheet

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Trigonemetry, Unit Circle Ratios (Tan, Sec, Csc, Cot) - To Ratio Name...
1
An svg image showing a math problem
What trigonometry ratio gives the highlighted dimension on the unit circle?
a A LaTex expression showing \text{cot}(\beta)
b A LaTex expression showing \text{tan}(\beta)
2
An svg image showing a math problem
What trigonometry ratio gives the highlighted dimension on the unit circle?
a A LaTex expression showing \text{cot}(\theta)
b A LaTex expression showing \text{cos}(\theta)
3
An svg image showing a math problem
What trigonometry ratio gives the highlighted dimension on the unit circle?
a A LaTex expression showing \text{cos}(\theta)
b A LaTex expression showing \text{tan}(\theta)
4
An svg image showing a math problem
What trigonometry ratio gives the highlighted dimension on the unit circle?
a A LaTex expression showing \text{cot}(\theta)
b A LaTex expression showing \text{tan}(\theta)
5
An svg image showing a math problem
What trigonometry ratio gives the highlighted dimension on the unit circle?
a A LaTex expression showing \text{sec}(\gamma)
b A LaTex expression showing \text{tan}(\gamma)
6
An svg image showing a math problem
What trigonometry ratio gives the highlighted dimension on the unit circle?
a A LaTex expression showing \text{cot}(\beta)
b A LaTex expression showing \text{sin}(\beta)
7
An svg image showing a math problem
What trigonometry ratio gives the highlighted dimension on the unit circle?
a A LaTex expression showing \text{cot}(\theta)
b A LaTex expression showing \text{sec}(\theta)
8
An svg image showing a math problem
What trigonometry ratio gives the highlighted dimension on the unit circle?
a A LaTex expression showing \text{cos}(\gamma)
b A LaTex expression showing \text{csc}(\gamma)