Subjects

Geometry

Right Triangles & Trigonometry

Sine & Cosine of Complementary Angles

Learn Easy Trigonometry: Law of Sines and Right Triangle Solutions with Calculator

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Learn Easy Trigonometry: Law of Sines and Right Triangle Solutions with Calculator

Bianca Stratford

@biancastratford

565 Followers

Subject Expert

The law of sines is a fundamental trigonometric concept used to solve triangles when given specific angles and sides. This homework set focuses on applying the law of sines to find missing sides or angles in various triangle scenarios.

Students practice using the formula sin A/a = sin B/b = sin C/c to solve for unknown values
Problems demonstrate both angle-finding and side-finding applications
Solutions require proper algebraic manipulation and inverse sine calculations
All answers are rounded to the nearest tenth for consistency
Examples cover both acute and obtuse triangles, including some law of sines ambiguous case scenarios

2/3/2023

204

<h2 id="lawofsinessolutionscalculator">Law of Sines Solutions Calculator</h2>
<p>Use the Law of Sines to find each missing side or angle.

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Page 2: Law of Sines Practice Problems (Second Set)

The second page continues with eight more advanced problems focusing on finding missing angles using the law of sines. These problems particularly emphasize inverse sine calculations and working with obtuse angles.

Example: Problem 9 demonstrates solving for an angle x using the equation sin x/23 = sin 27°/11, resulting in x = 71.7°

Highlight: Many problems on this page require students to solve for angles rather than sides, incorporating inverse sine calculations.

Definition: The inverse sine (sin⁻¹) is used to find an angle when given its sine value.

Vocabulary: Obtuse angles (angles greater than 90°) appear frequently in these problems, requiring careful attention to trigonometric relationships.

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Page 1: Law of Sines Practice Problems (First Set)

This page presents eight structured problems focusing on applying the law of sines to find missing triangle measurements. Each problem provides specific angle and side measurements that students must use to determine unknown values.

Definition: The Law of Sines states that the ratio of the sine of an angle to its opposite side is equal for all three angles and sides in a triangle.

Example: In problem 1, students solve for x using the equation x sin 29° = 5 sin 46°, resulting in x = 7.4

Highlight: Problems are arranged in increasing complexity, starting with simpler angle-side relationships and progressing to more complex scenarios.

Vocabulary: Sin⁻¹ (inverse sine or arcsine) is used to solve for unknown angles when given side ratios.

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Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

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Knowunity is the # 1 ranked education app in five European countries

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Students use Knowunity

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In Education App Charts in 12 Countries

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Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

Geometry

Right Triangles & Trigonometry

Sine & Cosine of Complementary Angles

Learn Easy Trigonometry: Law of Sines and Right Triangle Solutions with Calculator

Bianca Stratford

@biancastratford

565 Followers

Subject Expert

Students practice using the formula sin A/a = sin B/b = sin C/c to solve for unknown values
Problems demonstrate both angle-finding and side-finding applications
Solutions require proper algebraic manipulation and inverse sine calculations
All answers are rounded to the nearest tenth for consistency
Examples cover both acute and obtuse triangles, including some law of sines ambiguous case scenarios

2/3/2023

204

Geometry

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Page 2: Law of Sines Practice Problems (Second Set)

Example: Problem 9 demonstrates solving for an angle x using the equation sin x/23 = sin 27°/11, resulting in x = 71.7°

Highlight: Many problems on this page require students to solve for angles rather than sides, incorporating inverse sine calculations.

Definition: The inverse sine (sin⁻¹) is used to find an angle when given its sine value.

Vocabulary: Obtuse angles (angles greater than 90°) appear frequently in these problems, requiring careful attention to trigonometric relationships.

Sign up for free!

Learn faster and better with thousand of available study notes

By signing up you accept Terms of Service and Privacy Policy

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Law of Sines Practice Problems (First Set)

Definition: The Law of Sines states that the ratio of the sine of an angle to its opposite side is equal for all three angles and sides in a triangle.

Example: In problem 1, students solve for x using the equation x sin 29° = 5 sin 46°, resulting in x = 7.4

Highlight: Problems are arranged in increasing complexity, starting with simpler angle-side relationships and progressing to more complex scenarios.

Vocabulary: Sin⁻¹ (inverse sine or arcsine) is used to solve for unknown angles when given side ratios.

Sign up for free!

Learn faster and better with thousand of available study notes

By signing up you accept Terms of Service and Privacy Policy

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User