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

Level 1

This math topic focuses on trigonometry and the unit circle, emphasizing the understanding and application of various trigonometric ratios such as tangent (tan), secant (sec), cosecant (csc), and cotangent (cot). Problems involve identifying specific trigonometric ratios that correspond to highlighted dimensions on the unit circle. Each question asks for the correct trigonometric function related to a specific angle, requiring knowledge of these trigonometric functions and their relationships, such as sec being the inverse of cosine, or csc being the inverse of sine.

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 As Inverse (Greek Letter) Worksheet

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Trigonemetry, Unit Circle Ratios (Tan, Sec, Csc, Cot) - To Ratio As I...
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{csc}(\theta) = 1 over \text{sin (\theta)}
b A LaTex expression showing \text{sec}(\theta) = 1 over \text{cos (\theta)}
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{sin}(\beta) = 1 over \text{csc (\beta)}
b A LaTex expression showing \text{cos}(\beta) = 1 over \text{sec (\beta)}
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{csc}(\beta) = 1 over \text{sin (\beta)}
b A LaTex expression showing \text{sec}(\beta) = 1 over \text{cos (\beta)}
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{tan}(\beta) = 1 over \text{cot (\beta)}
b A LaTex expression showing \text{tan}(\beta) = 1 over \text{sec (\beta)}
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{sin}(\theta) = 1 over \text{csc (\theta)}
b A LaTex expression showing \text{cos}(\theta) = 1 over \text{sec (\theta)}
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{csc}(\beta) = 1 over \text{sin (\beta)}
b A LaTex expression showing \text{sec}(\beta) = 1 over \text{cos (\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{sin}(\beta) = 1 over \text{csc (\beta)}
b A LaTex expression showing \text{sin}(\beta) = 1 over \text{sec (\beta)}
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{cot}(\alpha) = 1 over \text{tan (\alpha)}
b A LaTex expression showing \text{sin}(\alpha) = 1 over \text{csc (\alpha)}