Chapter 3
Mathematics in Aviation Maintenance
given as:
Cone
The formula for the surface area of a right circular cone [Figure 3-29] is given as:
Figure 3-30 summarizes the formulas for computing the volume and surface area of three-dimensional solids.
Trigonometric Functions
Trigonometry is the study of the relationship between the angles and sides of a triangle. The word trigonometry comes from the Greek trigonon, which means three angles, and metro, which means measure.
Right Triangle, Sides, and Angles
In Figure 3-31, notice that each angle is labeled with a capital letter. Across from each angle is a corresponding side, each labeled with a lower case letter. This triangle is a right triangle because angle C is a 90° angle. Side “a” is “c” is always across from the right angle and is referred to as the “hypotenuse.”
Sine, Cosine, and Tangent
The three primary trigonometric functions and their abbreviations are: sine (sin), cosine (cos), and tangent (tan). These three functions can be found on most scientific calculators. The three trigonometric functions are actually ratios comparing two of the sides of the triangle as follows:
Example: Find the sine of a 30° angle.
Calculator Method:
Using a calculator, select the “sin” feature, enter the number