Mastering Adding and Subtracting Rational Expressions

When should you use the law of sines?

• Two sides and the included angle are given

• Two sides and one non-included angle are given

• Three sides are given

• Two angles and one side are given

What is required to use the law of cosines?

• Three angles

• Two sides and the included angle

• One angle and two sides not including the angle

• Two angles and one side

How do you find the largest angle in a triangle using sides?

• It's opposite the shortest side

• It's adjacent to the longest side

• It's opposite the longest side

• Add all sides and divide by two

What is the first step in solving a triangle with three sides given?

• Calculate the perimeter

• Use the law of cosines to find the largest angle

• Find the smallest angle

• Use the law of sines

In solving for a side using the law of cosines, what is the formula if sides a, b, and angle C are given?

• c = sqrt(a^2 + b^2 - 2ab cos(C))

• c^2 = a^2 - b^2 + 2ab cos(C)

• c = a + b - 2ab cos(C)

• c^2 = a^2 + b^2 - 2ab cos(C)

How do you find the distance between two ships sailing from the same port at a 30-degree angle?

• Using the law of sines

• Subtracting the smaller distance from the larger

• Adding the distances sailed by both ships

• Using the law of cosines

What is the direct distance from Tia to the goggles in the pool problem?

• 28 degrees

• 65 degrees

• 12 feet

• 5.6 feet

For a triangle with sides 6, 11, and 13 inches, what is the measure of the largest angle?

• 95.2 degrees

• 30 inches

• 11 inches

• 13 inches

When solving triangles, why is the law of sines often preferred?

• It's easier to use and has fewer steps

• It requires less information

• It can solve all types of triangles

• It doesn't require angles

What is the correct formula for the law of sines?

• sin(A)/a = sin(B)/b = sin(C)/c

• sin(A)/a + sin(B)/b = sin(C)/c

• a/sin(A) = b/sin(B) = c/sin(C)

• a/sin(A) + b/sin(B) = c/sin(C)