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

Level 1

This math topic focuses on understanding trigonometry ratios such as tangent (tan), secant (sec), cosecant (csc), and cotangent (cot) within the context of the unit circle, with the angles given in radians. Specifically, the problems present various positions on the unit circle and ask to identify which trigonometric ratio corresponds to a highlighted dimension. It also covers the transformation of these ratios from geometric representations to their respective function names at different radian measures, thereby enhancing skills in interpreting and converting geometric angle measures into trigonometric functions.

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 (Radians) 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{tan}(Pi over 3 )
b A LaTex expression showing \text{cot}(Pi over 3 )
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{tan}(Pi over 4 )
b A LaTex expression showing \text{cos}(Pi over 4 )
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{cot}(Pi over 6 )
b A LaTex expression showing \text{csc}(Pi over 6 )
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}(Pi over 4 )
b A LaTex expression showing \text{sin}(Pi over 4 )
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}(Pi over 6 )
b A LaTex expression showing \text{cot}(Pi over 6 )
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{sin}(Pi over 3 )
b A LaTex expression showing \text{cos}(Pi over 3 )
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{cos}(Pi over 4 )
b A LaTex expression showing \text{sec}(Pi over 4 )
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}(Pi over 6 )
b A LaTex expression showing \text{csc}(Pi over 6 )