Law of Sines and Cosines Practice

Front

What is the Law of Sines?

Back

Front

What does the Law of Sines help to find in a triangle?

Back

The Law of Sines helps to find unknown angles and sides in a triangle when given sufficient information (e.g., two angles and one side or two sides and a non-included angle).

Front

What is the formula for the Law of Cosines?

Back

Front

When is the Law of Cosines used instead of the Law of Sines?

Back

The Law of Cosines is used when you have two sides and the included angle (SAS) or all three sides (SSS) of a triangle, while the Law of Sines is used for AAS, ASA, or SSA cases.

Front

What is the significance of the angle-side relationship in the Law of Sines?

Back

In the Law of Sines, each side of a triangle is directly proportional to the sine of its opposite angle, meaning larger angles correspond to longer sides.

Front

How do you set up the Law of Sines to find an unknown angle?

Back

Front

What is the relationship between angles and sides in a triangle?

Back

In a triangle, the side opposite the largest angle is the longest side, and the side opposite the smallest angle is the shortest side.

Front

How can you determine if a triangle is solvable using the Law of Sines?

Back

A triangle is solvable using the Law of Sines if you have at least one side and its opposite angle, or two angles and one side.

Front

What is the ambiguous case in the Law of Sines?

Back

The ambiguous case occurs in SSA situations where two different triangles may be formed, or no triangle can be formed at all.

Front

How do you find the angle opposite a given side using the Law of Sines?

Back