Which One? Law of Sines OR Law of Cosines?

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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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When should 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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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. Formula: c² = a² + b² - 2ab*cos(C).

Front

When should 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) of a triangle.

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What is the formula for the Law of Sines?

Back

The formula is a/sin(A) = b/sin(B) = c/sin(C), where a, b, and c are the sides of the triangle and A, B, and C are the opposite angles.

Front

What is the formula for the Law of Cosines?

Back

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

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

Back

Use the Law of Sines.

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

Back

Use the Law of Cosines.

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What type of triangle can the Law of Sines be applied to?

Back

The Law of Sines can be applied to any triangle, including acute, obtuse, and right triangles.

Front

What type of triangle can the Law of Cosines be applied to?

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The Law of Cosines can be applied to any triangle, including acute, obtuse, and right triangles.