Replete with illustrations and examples, this book covers all the basic topics of Trigonometry and stimulates readers to think of mathematics as a unified subject.
So Trigonometry is a part of pre-calculus, and is related to other pre-calculus topics, such as exponential and logarithmic functions, and complex numbers..
This way of thinking is useful not just in calculus, but in many mathematical situations.
One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself.
Trigonometry is an important introduction to calculus, where one stud- ies what mathematicians call analytic properties of functions.
Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions.
Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid.
It is a very old subject.
It also has many applications to physics, astronomy, and other branches of science.
It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes.
It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc.
In a sense, Trigonometry sits at the center of high school mathematics. 6/99.
Gelfand, is considered the most distinguished living mathematician.
The text is written by two experienced pre-college teachers, one of whom, I.
M.
Definitions of trigonometric functions are geometrically motivated, and various geometric relationships are rewritten in trigonometric form and extended.
Replete with illustrations and examples, this book covers all the basic topics of Trigonometry and stimulates readers to think of mathematics as a unified subject
