CalcNotes0103-page1

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

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

View Full Document Right Arrow Icon
(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
Background image of page 1
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

Ask a homework question - tutors are online