Home
Grade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8Grade 9Grade 10Grade 11Grade 12Math Themes
Explorers (Grades 1-3)Explorers Elite (1-3)Navigators (Grades 4-6)Navigators Elite (4-6)Challengers (Grades 7-9)Challengers Elite (7-9)Scholars (Grades 10-12)Scholars Elite (10-12)Schedule an Evaluation
Mobius MethodFlexible ClassesCompanySupport
Pricing
Ctrl+k
Sign InJoin

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

Level 1

This math topic focuses on identifying trigonometric ratios—tangent (tan), secant (sec), cosecant (csc), and cotangent (cot)—from given unit circle diagrams. Each problem presents an image of a unit circle with a highlighted segment, asking the learner to determine which trigonometric ratio corresponds to the depicted segment. The problems test understanding of not just the trigonometric ratios but also their representation using Greek letters.

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

more
WorksheetView

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

Mobius Math Academy logo
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}(\alpha)
b A LaTex expression showing \text{cot}(\alpha)
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{csc}(\theta)
b A LaTex expression showing \text{sin}(\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{tan}(\alpha)
b A LaTex expression showing \text{sin}(\alpha)
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{sin}(\gamma)
b A LaTex expression showing \text{cot}(\gamma)
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}(\beta)
b A LaTex expression showing \text{cos}(\beta)
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}(\gamma)
b A LaTex expression showing \text{cot}(\gamma)
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{sin}(\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{tan}(\beta)
b A LaTex expression showing \text{sin}(\beta)