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

Level 2

This math topic focuses on identifying various trigonometric ratios—tan, sec, csc, cot—based on angles given in degrees, within the context of the unit circle. The problems challenge students to determine the correct trigonometric ratio that corresponds to the highlighted segment or angle on the unit circle depicted in images provided for each question. The skills practiced include recognizing and applying trigonometric relationships in the unit circle, enhancing understanding of trigonometry principles.

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{csc}(315 to the power of circle )
b A LaTex expression showing \text{sin}(315 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{sin}(135 to the power of circle )
b A LaTex expression showing \text{cos}(135 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{sec}(150 to the power of circle )
b A LaTex expression showing \text{sin}(150 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{tan}(120 to the power of circle )
b A LaTex expression showing \text{csc}(120 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{cot}(315 to the power of circle )
b A LaTex expression showing \text{sec}(315 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{sin}(135 to the power of circle )
b A LaTex expression showing \text{csc}(135 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{cos}(225 to the power of circle )
b A LaTex expression showing \text{tan}(225 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{cos}(210 to the power of circle )
b A LaTex expression showing \text{tan}(210 to the power of circle )