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Trigonometry - Rule of Sines - Setup (Level 1)

This math topic focuses on applying the Rule of Sines to solve for side lengths in triangles. The problems involve selecting the correct sine formula based on given angles and side lengths, demonstrating a fundamental understanding of trigonometric relationships within triangles. The topic is structured to enhance skills in setting up and simplifying trigonometric equations, critical for solving various problems involving triangles in trigonometry. Each question requires analyzing triangle diagrams and calculating ratios of sines of angles to find unknown sides.

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

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Rule of Sines - Setup

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Select the right formula for the side length indicated

4060?8

Trigonometry - Rule of Sines - Setup Worksheet

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Math worksheet on 'Trigonometry - Rule of Sines - Setup (Level 1)'. Part of a broader unit on 'Trigonometry - Solving Triangles' Learn online: app.mobius.academy/math/units/trigonometry_solving_triangles/
1
Select the right formula for the side length indicated
An svg image showing a math problem
a A LaTex expression showing 12 times sin(75) over sin(150)
b A LaTex expression showing 12 times sin(12) over sin(50)
c A LaTex expression showing 12 times sin(50) over sin(75)
d A LaTex expression showing 12 times sin(75) over sin(50)
e A LaTex expression showing 12 times sin(50) over sin(12)
2
Select the right formula for the side length indicated
An svg image showing a math problem
a A LaTex expression showing 8 times sin(60) over sin(30)
b A LaTex expression showing 8 times sin(30) over sin(60)
c A LaTex expression showing 8 times sin(60) over sin(8)
d A LaTex expression showing 8 times sin(8) over sin(60)
3
Select the right formula for the side length indicated
An svg image showing a math problem
a A LaTex expression showing 4 times sin(55) over sin(4)
b A LaTex expression showing 4 times sin(60) over sin(55)
c A LaTex expression showing 4 times sin(60) over sin(120)
d A LaTex expression showing 4 times sin(4) over sin(55)
e A LaTex expression showing 4 times sin(55) over sin(60)
4
Select the right formula for the side length indicated
An svg image showing a math problem
a A LaTex expression showing 11 times sin(45) over sin(11)
b A LaTex expression showing 11 times sin(45) over sin(55)
c A LaTex expression showing 11 times sin(55) over sin(110)
d A LaTex expression showing 11 times sin(11) over sin(45)
e A LaTex expression showing 11 times sin(55) over sin(45)
5
Select the right formula for the side length indicated
An svg image showing a math problem
a A LaTex expression showing 12 times sin(35) over sin(70)
b A LaTex expression showing 12 times sin(60) over sin(12)
c A LaTex expression showing 12 times sin(12) over sin(60)
d A LaTex expression showing 12 times sin(60) over sin(35)
e A LaTex expression showing 12 times sin(35) over sin(60)
6
Select the right formula for the side length indicated
An svg image showing a math problem
a A LaTex expression showing 4 times sin(45) over sin(90)
b A LaTex expression showing 4 times sin(80) over sin(45)
c A LaTex expression showing 4 times sin(80) over sin(4)
d A LaTex expression showing 4 times sin(4) over sin(80)
e A LaTex expression showing 4 times sin(45) over sin(80)
7
Select the right formula for the side length indicated
An svg image showing a math problem
a A LaTex expression showing 4 times sin(4) over sin(55)
b A LaTex expression showing 4 times sin(55) over sin(45)
c A LaTex expression showing 4 times sin(45) over sin(55)
d A LaTex expression showing 4 times sin(45) over sin(90)
e A LaTex expression showing 4 times sin(55) over sin(4)