Finding Unknown Angles with the Law of Sines

What is unique about the Law of Sines compared to other trigonometric rules?

• It cannot be used to find unknown angles.

• It only applies to right triangles.

• It can be used with any type of triangle.

• It is only valid for equilateral triangles.

How are the sides of the triangle labeled in relation to the angles?

• Each angle is labeled with the lowercase version of its opposite side.

• Sides are labeled with numbers instead of letters.

• There is no specific labeling convention.

• Each side is labeled with the same letter as its opposite angle.

What does the Law of Sines formula relate?

• The cosine of an angle to its opposite side.

• The sine of an angle to the length of the hypotenuse.

• The sine of an angle to its opposite side.

• The tangent of an angle to its adjacent side.

Which of the following is a step in finding an unknown angle using the Law of Sines?

• Multiplying the sines of all angles together.

• Setting up a proportion based on the sines of the angles and their opposite sides.

• Adding the lengths of all sides together.

• Using the cosine rule to find the angle directly.

What is the first step in solving for an unknown angle using the Law of Sines?

• Calculate the area of the triangle.

• Identify the two angles and two sides you are working with.

• Find the perimeter of the triangle.

• Determine the height of the triangle.

What mathematical operation is primarily used to solve the equation set up by the Law of Sines?

• Cross multiplication

• Multiplication

• Subtraction

• Addition

How do you isolate the unknown angle in the equation?

• Use the inverse sine function on the calculated ratio.

• Subtract the known angle from 180 degrees.

• Divide the longest side by the sine of its opposite angle.

• Multiply the sides by their respective angles.

What tool is necessary to find the value of the unknown angle after setting up the equation?

• Graph paper

• A calculator

• A protractor

• A ruler

What is the result of applying the Law of Sines in the given example?

• A side length of 25 units

• An angle of approximately 33.80 degrees

• A side length of 15 units

• An angle of 68 degrees

Why is it important to be careful with parentheses when using a calculator for trigonometry problems?

• To save memory on the calculator

• To make the calculation faster

• To prevent the calculator from shutting down

• To ensure the correct order of operations