Identity Ratios from Diagrams (Level 1)

This math topic focuses on extracting and solving trigonometric ratios from given diagrams. Students are to identify and calculate ratios like sine, cosine, and tangent based on the relationships or measurements provided in the images. The problems involve expressing these trigonometric ratios in fraction form, enhancing their understanding of how to interpret diagrams and apply fundamental trigonometric identities. This subject is part of an introduction to trigonometry fundamentals, aiding in building a base for more complex trigonometric concepts.

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

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Trigonometry - Identity Ratios from Diagrams Worksheet

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Trigonometry - Identity Ratios from Diagrams
1
An svg image showing a math problem
Solve for the trigonometric ratio in fraction form
a A LaTex expression showing sin(A) = 14.3 over 17.4
b A LaTex expression showing sin(A) = 10 multiplied by 10
c A LaTex expression showing sin(A) = 10 multiplied by 14.3
d A LaTex expression showing sin(A) = 17.4 over 10
e A LaTex expression showing sin(A) = 10 over 14.3
f A LaTex expression showing sin(A) = 17.4 multiplied by 14.3
2
An svg image showing a math problem
Solve for the trigonometric ratio in fraction form
a A LaTex expression showing cos(A) = 5 over 6.1
b A LaTex expression showing cos(A) = 6.1 over 6.1
c A LaTex expression showing cos(A) = 5 over 5
d A LaTex expression showing cos(A) = 5 multiplied by 3.5
e A LaTex expression showing cos(A) = 6.1 multiplied by 5
f A LaTex expression showing cos(A) = 5 over 3.5
3
An svg image showing a math problem
Solve for the trigonometric ratio in fraction form
a A LaTex expression showing tan(A) = 6 multiplied by 6
b A LaTex expression showing tan(A) = 10.5 over 6
c A LaTex expression showing tan(A) = 6 over 10.5
d A LaTex expression showing tan(A) = 10.5 multiplied by 10.5
e A LaTex expression showing tan(A) = 8.6 over 6
f A LaTex expression showing tan(A) = 8.6 multiplied by 10.5
4
An svg image showing a math problem
Solve for the trigonometric ratio in fraction form
a A LaTex expression showing sin(A) = 15.7 multiplied by 15.7
b A LaTex expression showing sin(A) = 15.7 multiplied by 10.1
c A LaTex expression showing sin(A) = 10.1 over 15.7
d A LaTex expression showing sin(A) = 12 multiplied by 10.1
e A LaTex expression showing sin(A) = 15.7 over 15.7
f A LaTex expression showing sin(A) = 15.7 multiplied by 12
5
An svg image showing a math problem
Solve for the trigonometric ratio in fraction form
a A LaTex expression showing sin(A) = 15.7 multiplied by 10.1
b A LaTex expression showing sin(A) = 15.7 multiplied by 12
c A LaTex expression showing sin(A) = 12 over 15.7
d A LaTex expression showing sin(A) = 10.1 over 15.7
e A LaTex expression showing sin(A) = 10.1 multiplied by 12
f A LaTex expression showing sin(A) = 12 multiplied by 12
6
An svg image showing a math problem
Solve for the trigonometric ratio in fraction form
a A LaTex expression showing tan(A) = 7.1 over 7.1
b A LaTex expression showing tan(A) = 8.7 over 7.1
c A LaTex expression showing tan(A) = 8.7 over 5
d A LaTex expression showing tan(A) = 7.1 over 5
e A LaTex expression showing tan(A) = 5 over 7.1
f A LaTex expression showing tan(A) = 7.1 multiplied by 7.1
7
An svg image showing a math problem
Solve for the trigonometric ratio in fraction form
a A LaTex expression showing tan(A) = 9.1 multiplied by 5.9
b A LaTex expression showing tan(A) = 7 over 7
c A LaTex expression showing tan(A) = 5.9 over 7
d A LaTex expression showing tan(A) = 5.9 over 5.9
e A LaTex expression showing tan(A) = 7 multiplied by 7
f A LaTex expression showing tan(A) = 9.1 over 7
8
An svg image showing a math problem
Solve for the trigonometric ratio in fraction form
a A LaTex expression showing cos(A) = 10.4 over 10.4
b A LaTex expression showing cos(A) = 10.4 multiplied by 10.4
c A LaTex expression showing cos(A) = 6.7 multiplied by 8
d A LaTex expression showing cos(A) = 8 over 10.4
e A LaTex expression showing cos(A) = 6.7 over 6.7
f A LaTex expression showing cos(A) = 8 over 8