Law of Sines and Cosines L

Front

What is the Law of Sines used for?

Back

The Law of Sines is used to find unknown lengths and angles in non-right triangles.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

State the Law of Sines formula.

Back

The Law of Sines states that (a/sin(A)) = (b/sin(B)) = (c/sin(C)), where a, b, and c are the lengths of the sides opposite angles A, B, and C respectively.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

When should you use the Law of Cosines instead of the Law of Sines?

Back

Use the Law of Cosines when you have two sides and the included angle (SAS) or all three sides (SSS) of a triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

State the Law of Cosines formula.

Back

The Law of Cosines states that c² = a² + b² - 2ab*cos(C), where a, b, and c are the lengths of the sides of the triangle and C is the included angle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you find the length of a side using the Law of Cosines?

Back

Rearrange the Law of Cosines formula to solve for the unknown side.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the relationship between the angles and sides in a triangle according to the Law of Sines?

Back

The ratio of the length of a side to the sine of its opposite angle is constant for all three sides of the triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the significance of the angle sum property in triangles?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

How can you find an unknown angle using the Law of Sines?

Back

Rearrange the Law of Sines formula to isolate the sine of the angle and then use the inverse sine function.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the first step in solving a triangle using the Law of Sines?

Back

Identify known sides and angles, and determine if the Law of Sines is applicable.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the importance of knowing whether a triangle is acute, obtuse, or right when using the Law of Sines?

Back

The type of triangle affects the number of possible solutions for unknown angles.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11