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Lecture notes

Trigonometry

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This document covers the most important trigonometric identities, making it an essential resource for students studying high school or college-level math. It includes: Defining Relations: Understand how tangent, cotangent, secant, and cosecant are expressed using sine and cosine. The Pythagorean Identity: A key formula in trigonometry for sines and cosines. Co-function Identities: Explains how trig functions relate to their complements. Periodicity of Functions: Learn the periodicity of sine, cosine, tangent, and other trig functions. Negative Angle Identities: Clarifies odd and even function properties for sine, cosine, tangent, and others. Sum and Difference Formulas: Includes Ptolemy’s identities and formulas for sine and cosine. Double Angle Formulas: Detailed explanation of the double angle formulas for sine and cosine. Whether you’re preparing for exams or need a quick reference guide, this document provides all the essential trigonometric identities in an easy-to-understand format.

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Uploaded on
September 20, 2024
Number of pages
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Written in
2024/2025
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Trigonometry
IDENTITIESIDENTITIES
IDENTITIES

THE MORE IMPORTANT

De ning relations for tangent, cotangent, The Pythagorean formula for sines
secant, and cosecant in terms of sine and and cosines. This is probably the most
cosine. important trig identity.




Identities expressing trig functions in Periodicity of trig functions. Sine,
terms of their complements. There's not cosine, secant, and cosecant have period
much to these. Each of the six trig 2π while tangent and cotangent have
functions is equal to its co-function period π.
evaluated at the complementary angle.




Identities for negative angles. Sine, Ptolemy’s identities, the sum and
tangent, cotangent, and cosecant are odd difference formulas for sine and
functions while cosine and secant are cosine.
even functions.




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