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.

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

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

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

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

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

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

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

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