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 As Inverse (Radians)

Level 2

This math topic focuses on trigonometry ratios related to the unit circle, specifically dealing with tangent (tan), secant (sec), cosecant (csc), and cotangent (cot). Problems involve identifying these trigonometric ratios based on depicted angles measured in radians and understanding their relational values as inverses. It targets interpreting these ratios and their inverse relationships specific to the provided angle on the unit circle, enhancing proficiency in trigonometry and foundational unit circle concepts.

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 As Inverse (Radians) Worksheet

Mobius Math Academy logo
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{cot}(5Pi over 3 ) = 1 over \text{tan (5Pi over 3 )}
b A LaTex expression showing \text{sin}(5Pi over 3 ) = 1 over \text{csc (5Pi 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{sec}(5Pi over 4 ) = 1 over \text{sin (5Pi over 4 )}
b A LaTex expression showing \text{sec}(5Pi over 4 ) = 1 over \text{cos (5Pi 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{cos}(5Pi over 3 ) = 1 over \text{sec (5Pi over 3 )}
b A LaTex expression showing \text{tan}(5Pi over 3 ) = 1 over \text{cot (5Pi over 3 )}
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}(11Pi over 6 ) = 1 over \text{cot (11Pi over 6 )}
b A LaTex expression showing \text{cos}(11Pi over 6 ) = 1 over \text{sec (11Pi over 6 )}
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}(5Pi over 3 ) = 1 over \text{cos (5Pi over 3 )}
b A LaTex expression showing \text{sec}(5Pi over 3 ) = 1 over \text{sin (5Pi over 3 )}
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}(11Pi over 6 ) = 1 over \text{sin (11Pi over 6 )}
b A LaTex expression showing \text{sec}(11Pi over 6 ) = 1 over \text{cos (11Pi over 6 )}
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}(11Pi over 6 ) = 1 over \text{sec (11Pi over 6 )}
b A LaTex expression showing \text{cos}(11Pi over 6 ) = 1 over \text{csc (11Pi over 6 )}
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}(7Pi over 6 ) = 1 over \text{cos (7Pi over 6 )}
b A LaTex expression showing \text{csc}(7Pi over 6 ) = 1 over \text{sin (7Pi over 6 )}