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

Level 1

This math topic focuses on identifying trigonometric ratios from the unit circle specifically involving tangent, secant, cosecant, and cotangent, with values expressed in degrees. Students are presented with diagrams of the unit circle where specific dimensions are highlighted, and they must determine the appropriate trigonometric ratio (e.g., tan, sec, csc, cot) corresponding to the given angle and dimension. Each question provides two multiple-choice options.

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 (Degrees) 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}(60 to the power of circle )
b A LaTex expression showing \text{cot}(60 to the power of circle )
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}(30 to the power of circle )
b A LaTex expression showing \text{cos}(30 to the power of circle )
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}(30 to the power of circle )
b A LaTex expression showing \text{cot}(30 to the power of circle )
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}(60 to the power of circle )
b A LaTex expression showing \text{cos}(60 to the power of circle )
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{csc}(60 to the power of circle )
b A LaTex expression showing \text{cot}(60 to the power of circle )
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{tan}(60 to the power of circle )
b A LaTex expression showing \text{cot}(60 to the power of circle )
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}(45 to the power of circle )
b A LaTex expression showing \text{sin}(45 to the power of circle )
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{sec}(45 to the power of circle )
b A LaTex expression showing \text{cot}(45 to the power of circle )