Application of Trigonometry and its association with Architectures
Introduction
Trigonometry is an important mathematic branch that mainly focuses on different angles function. As the name denotes, the branch mainly deals with triangles. The branch plays a critical role in the calculation of missing sides and angles of a right-angled triangle. Some of the functions used in trigonometry include cosine (cos), sine(sin), cotangent(cot), cosecant(CSC), secant(sec), and tangent(tan). However, there are six trigonometric functions. The commonly used are cosines, sine, and tangent. These functions used in the various mathematical calculation such as linear algebra, calculus, and statistics.
Consequently, trigonometric functions are applied in various daily life incidences, especially in science and engineering. Moreover, this mathematic branch creates a relationship between triangles, angles, heights, and side length. Trigonometric functions are crucial in the school curriculum to prepare the students for practical experience and application in the problems that apply in day to day life. Trigonometry is among the essential branch of mathematics since its formula is used even by other disciplines such as geography and physics.
Trigonometric ratios are only applicable in the right-angled triangle. This a triangle with one angle being 90 degrees will the other two angles are less than 90 degrees. It is important to note that when all the angles are summed up, they should total up to 180 degrees. Moreover, a right-angled triangle should have three sides, which are Hypotenuse, adjacent, and opposite.
Three sides of a right-angled triangle.. Don't use plagiarised sources.Get your custom essay just from $11/page
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A to B = Hypotenuse
A to C= Adjacent
B to C= Opposite.
Trigonometric ratios using the above triangle
Notably, trigonometric ratios are used only when one angle of the triangle has been provided. Therefore, to solve the missing side, the first step is to observe the side and the angle provided and then to choose the appropriate formula and function to solve the problem. For instance, using the above triangle, let assume side AB =25 cm and angle A=30. You are supposed to find side CB=X, which is the opposite side. The most appropriate formula to use is the sin ratio.
Calculation:
Sin = opposite/hypotenuse
Sin (34) = X/25
- sin (34) =X
X = 25. Sin (34)
X =25. (0.559…)
X =14.0
The reason for using sin formula is because the ratio that is similar to the two sides used in the sign formula.
Rationale:
Trigonometry applications
Trigonometry and architecture
Trigonometry and alternative electrical engineering
Trigonometry and manufacturing
Trigonometry and music production
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