PC_ Law of Sines FLASHCARD

Front

What is the Law of Sines?

Back

Front

How do you find the length of a side using the Law of Sines?

Back

Front

What is the first step in solving a triangle using the Law of Sines?

Back

Identify the known values: at least one side and its opposite angle, or two angles and one side.

Front

In triangle ABC, if angle A = 30° and side a = 10, how do you find side b if angle B = 45°?

Back

Front

What is the significance of the sine function in the Law of Sines?

Back

The sine function relates the angles of a triangle to the lengths of its sides, allowing for the calculation of unknown sides or angles.

Front

If two angles and one side are known, what can be determined?

Back

The third angle can be found using the fact that the sum of angles in a triangle is 180°, and then the remaining sides can be calculated using the Law of Sines.

Front

What is the relationship between angles and sides in a triangle according to the Law of Sines?

Back

The larger the angle, the longer the opposite side; conversely, the smaller the angle, the shorter the opposite side.

Front

How can the Law of Sines be used to find multiple solutions in a triangle?

Back

When given two sides and a non-included angle, the triangle may have two possible configurations, leading to two different solutions for the unknown angle.

Front

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

Back

Front

What is the sine of 90 degrees?

Back

The sine of 90 degrees is 1.