Law of Sines & Cosines Check

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides and angles in the triangle. Formula: a/sin(A) = b/sin(B) = c/sin(C).

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Front

What is the Law of Cosines?

Back

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. It is useful for finding a side or angle in a triangle when you know two sides and the included angle or all three sides. Formula: c² = a² + b² - 2ab*cos(C).

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Front

When do you use the Law of Sines?

Back

Use the Law of Sines when you have either two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA).

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Front

When do you use the Law of Cosines?

Back

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

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Front

What criteria can be used with the Law of Sines?

Back

The criteria for the Law of Sines are SSA, ASA, and AAS.

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Front

What criteria can be used with the Law of Cosines?

Back

The criteria for the Law of Cosines are SSS and SAS.

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Front

If you know two sides and the included angle, which law do you use?

Back

You would use the Law of Cosines.

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Front

If you know two angles and one side, which law do you use?

Back

You would use the Law of Sines.

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Front

What is the formula for the Law of Sines?

Back

The formula is a/sin(A) = b/sin(B) = c/sin(C).

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the formula for the Law of Cosines?

Back

The formula is c² = a² + b² - 2ab*cos(C).

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11