CalcNotes0103-page1

# CalcNotes0103-page1 - x = sin x cos x and cot x = cos x sin...

This preview shows page 1. Sign up to view the full content.

(Chapter 1: Review) 1.35 TOPIC 3: TRIGONOMETRY II PART A: FUNDAMENTAL TRIG IDENTITIES (IDs) Memorize these in both “directions” (i.e., left-to-right and right-to-left). Reciprocal Identities csc x = 1 sin x sec x = 1 cos x cot x = 1 tan x sin x = 1 csc x cos x = 1 sec x tan x = 1 cot x Warning : Remember that the reciprocal of sin x is csc x , not sec x . Note : We typically treat “0” and “undefined” as reciprocals when we are dealing with trig functions. Your algebra teacher will not want to hear this, though! Quotient Identities tan
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x = sin x cos x and cot x = cos x sin x Pythagorean Identities sin 2 x + cos 2 x = 1 1 + cot 2 x = csc 2 x tan 2 x + 1 = sec 2 x Tip : The 2 nd and 3 rd IDs can be obtained by dividing both sides of the 1 st ID by sin 2 x and cos 2 x , respectively. Tip : The squares of csc x and sec x , which have the “Up-U, Down-U” graphs, are all alone on the right sides of the last two IDs. They can never be 0 in value. (Why is that? Look at the left sides.)...
View Full Document

## This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

Ask a homework question - tutors are online