Law of Sines and Cosines

Front

Identify the Law of Sines

Back

Front

What is the Law of Cosines?

Back

Front

Solve for x: If sin(x) = 0.4, what is x?

Back

x = 23.6 degrees or 156.4 degrees (in the range of 0 to 360 degrees)

Front

What is the measure of angle A if angle B = 61 degrees and angle C = 41 degrees?

Back

Angle A = 78 degrees

Front

Which Law would you use to find the length of a side in a triangle when you know two sides and the included angle?

Back

Law of Cosines

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.

Front

If a triangle has sides a = 7, b = 10, and angle A = 30 degrees, how do you find angle B?

Back

Front

What is the formula for the area of a triangle using the Law of Sines?

Back

Front

If angle A = 50 degrees and angle B = 60 degrees, what is angle C?

Back

Angle C = 70 degrees (since the sum of angles in a triangle is 180 degrees)

Front

What is the Law of Cosines used for?

Back

To find a side length or angle in a triangle when you have two sides and the included angle or all three sides.