Setting Up the Law of Sines

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What is the Law of Sines?

Back

Front

When can the Law of Sines be used?

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The Law of Sines can be used to solve for unknown sides or angles in any triangle when you have either: 1. Two angles and one side (AAS or ASA) 2. Two sides and a non-included angle (SSA).

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What does the symbol 'a' represent in the Law of Sines?

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In the Law of Sines, 'a' represents the length of the side opposite angle A.

Front

What does the symbol 'A' represent in the Law of Sines?

Back

In the Law of Sines, 'A' represents the measure of angle A, which is opposite side 'a'.

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How do you set up the Law of Sines for a triangle with known angles A and B and side a?

Back

Front

What is the first step in using the Law of Sines to find an unknown angle?

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The first step is to set up the equation using the known sides and angles, then isolate the sine of the unknown angle.

Front

If you know two sides and a non-included angle, how do you find the unknown angle using the Law of Sines?

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What is the relationship between the angles and sides in the Law of Sines?

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The Law of Sines shows that larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Front

How do you find an unknown side using the Law of Sines?

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Front

What is the significance of the sine function in the Law of Sines?

Back

The sine function relates the angles of a triangle to the ratios of the lengths of its sides, allowing for the calculation of unknown values.