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Sec III HW 103 Name: Date: Period: 103 Law of Cosines Book: 17.3 Sec III HW 103 Name: Date: Period:
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How to fill out the 10-3 law of cosines:

01
Identify the three sides of the triangle: In order to use the 10-3 law of cosines, you need to know the lengths of the three sides of the triangle.
02
Assign variables to each side: Let's say the lengths of the sides are a, b, and c. Assign variables to each side, such as a = 5, b = 7, and c = 9.
03
Plug the values into the formula: The 10-3 law of cosines states that c^2 = a^2 + b^2 - 2ab(cosC). Substitute the values of a, b, and c into this formula.
04
Solve for the unknown: Once you have plugged the values into the formula, rearrange the equation to solve for the unknown side. In this case, we are solving for side c.
05
Calculate the unknown side: Use algebraic manipulation to isolate c on one side of the equation and solve for its value. This will give you the length of the unknown side.

Who needs the 10-3 law of cosines:

01
Students studying trigonometry: The 10-3 law of cosines is a fundamental concept in trigonometry. It is used to find the length of an unknown side of a triangle when the lengths of the other two sides and the included angle are known.
02
Engineers and architects: The law of cosines is applied in various fields, including engineering and architecture. It is used to calculate distances, angles, and dimensions in construction projects and structural analysis.
03
Navigators and surveyors: The law of cosines is particularly useful for navigators and surveyors who need to calculate distances and angles between different points on the Earth's surface. It helps them with map-making, navigation, and surveying tasks.
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The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Individuals or organizations dealing with trigonometry problems involving triangles where the sides and angles are known.
To fill out the law of cosines, you need to know either two sides and an included angle or the three sides of a triangle.
The purpose of the law of cosines is to calculate the unknown side lengths or angles of a triangle when other side lengths and angles are known.
The lengths of the sides of the triangle and the angles between them.
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