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Math 2000: Intro to Trigonometry

Written By: Douglas Uppity

Reference
Intro to Trigonometry



Trigonometry is a branch of mathematics that is used quite commonly in the fields of engineering on Space Stations 1-27. This book will teach you the basic trigonometric functions used in algebraic geometry when engineering in the space station environments.

Chapter I
The Basic Elements of Trigonometry


The first three elements of trigonometry we have are sine, cosine, and tangent, otherwise known as sin, cos, and tan.

In every right triangle, as any basic geometry class will teach you, there are three sides: a, b, and c. As we all know, a^2 + b^2 = c^2 in every right triangle. These sides have a direct correlation to these basic trigonometric elements.

Imagine a 45 degree angle located on a right triangle, which we will refer to as Angle A. With the assumption that side a is directly across from Angle A, we can get these basic trigonometric equations:

sinA = a/c
cosA = b/c
tanA = a/b

Chapter II
The Secondary Elements of Trigonometry


Where sine, cosine, and tangent are elements of the right triangle, the remaining trigonometric functions are elements of the primary trigonometric functions.

The remaining elements are cotangent, secant, and cosecant, also reffered to as cot, sec,, and csc.

cot = cos/sin
sec = 1/cos
csc = 1/sin



This book is a part of the Math Series 2000 by Douglas Uppity Ph.D.