Sine Rule and Cosine Rule

When should you use the sine rule?

• When you are solving a system of linear equations

• When you need to calculate the volume of a rectangular prism

• When you know the lengths of two sides and the size of the included angle in a triangle.

• When you want to find the area of a circle

When should you use the cosine rule?

• When you need to calculate the square root of a number

• When you need to determine the volume of a rectangular prism

• When you need to find the area of a circle

• When you need to find the length of a side or the size of an angle in a triangle, and you have the lengths of two sides and the included angle, or the lengths of all three sides.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If you know two angles and one side of a triangle, which rule would you use to find the missing side?

• Sine Rule

• Tangent Rule

• Pythagorean Theorem

• Area Rule

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If you know two sides and one angle of a triangle, which rule would you use to find the missing angle?

• Sine Rule

• Cosine Rule

• Pythagorean Theorem

• Area Rule

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If you know all three sides of a triangle, which rule would you use to find the missing angle?

• Cosine Rule

• Pythagorean Theorem

• Tangent Rule

• Area Rule

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If you know all three angles of a triangle, which rule would you use to find the missing side?

• Area Rule

• Cosine Rule

• Sine Rule

• Pythagorean Theorem

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In a triangle with sides of length 5, 7, and an included angle of 60 degrees, which rule would you use to find the length of the missing side?

• Sine Rule

• Area Rule

• Cosine Rule

• Pythagorean Theorem

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In a triangle with sides of length 8, 10, and an included angle of 45 degrees, which rule would you use to find the measure of the missing angle?

• Cosine Rule

• Tangent Rule

• Pythagorean Theorem

• Sine Rule

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In a triangle with sides of length 6, 9, and an included angle of 90 degrees, which rule would you use to find the length of the missing side?

• Area of a Triangle formula

• Law of Sines

• Law of Cosines

• Pythagorean theorem

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In a triangle with angles of 30, 60, and 90 degrees, which rule would you use to find the length of the missing side?

• Trigonometric Ratios

• Law of Cosines

• Pythagorean Theorem

• Law of Sines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11