Trigonometric Functions - Koblbauer's Math...

Preview:

Click to see full reader

Citation preview

Limits as of trigonometric functions:

Fundamental Trigonometric Limit:

Determine .

What is ?

Calculate .

0

0lim cos

0

limsin

0tanlim

0

sin1lim

0

cos 1lim

0

sin 7lim

4

0lim cot

Trigonometric Functions

Derivatives of trigonometric functions:

Differentiate .2 siny x x

0

( ) ( )sin lim

h

d f x h f xx

dx h

2 2

sin cos csc csc cot

cos sin sec sec tan

tan sec cot csc

d dx x x x x

dx dx

d dx x x x x

dx dx

d dx x x x

dx dx

Recommended

10.4 Trigonometric Identities · 2012. 11. 16. · 10.4 Trigonometric Identities 771 follows that the points P and Qare symmetric about the x-axis. Thus, cos( 0) = cos( 0) and sin(
Documents
Exercise 13.1 Page: 301 · 11 lim cos sin lim. x x. ax b x x. o o §· ¨¸ ¨¸u ¨¸§· ¨¸ ©¹ = 1 a cos0 b. u 0. sin lim 1. y. x. o x. ªº «» ¬¼ = a. 1 b 18. 0. cos lim
Documents
4.4 Trigonometric Functions of Any Anglethsprecalculus.weebly.com/uploads/7/0/8/1/7081416/333202_0404_312... · Trigonometric Functions of Any Angle ... Figure 4.41 shows the angle
Documents
CHAPTER 2 Differentiation answers/ODD02.pdf54 Chapter 2 Differentiation 17. lim x 0 4x x 22 x x x lim x 0 4x 2 x 1 4x 1 lim x 0 2x2 4 x2 x 2 x 1 2 2 x lim x 0 2 x 2x x x 1 2 x2 1 x
Documents
Apresentação do PowerPoint - ProMilitares€¦ · RESOLUÇÃO Como o limite é da forma 0 0, vamos aplicar o teorema de L’Hôpital. 33 22 x 2 x 2 x 2 3 3 2 x 2 1 lim lim lim 3x
Documents
4.7 Inverse Trigonometric Functionsthsprecalculus.weebly.com/uploads/7/0/8/1/7081416/333202_0407_343... · Section 4.7 Inverse Trigonometric Functions 343 Inverse Sine Function Recall
Documents
Trigonometric Graphs - WordPress.com · 2010-09-29 · Trigonometric Graphs Inverness College September 29, 2010 Inverness College Trigonometric Graphs Simple Trigonometric Functions
Documents
Lesson #64 First Degree Trigonometric Equations 1 ~ Lesson #64 – First Degree Trigonometric Equations A2.A.68 Solve trigonometric equations for all values of the variable from 0
Documents
SECTION 2.4: LIMITS AND INFINITY IIkkuniyuk.com/CalcBook/CalcNotes02B.pdf · See Part D.) Example 1 (0/0 is an Indeterminate Form) If c , lim x 0 cx x Limit Form 0 0 = lim x 0 c =
Documents
Thermodynamics IIIIIIII · 2006. 10. 9. · In chapter 6,) lim ln φ J RT G ∴lim (i P→0 R i P→0 = =) 0 which means that P f lim ln φ lim ln(i P→0 i P→0 = = 1 P f lim φ
Documents
x () ()() - profs.info.uaic.rofliacob/An1/ID_05-06/Limite de functii si continuitate.pdf · 000 00 000 0 0 0 0 1 2 3 400 5 lim lim lim lim lim , lim lim lim Dacă lim 0, a.î. 0 lim
Documents
Trigonometric Graphs and Identitiesrosalesmath.weebly.com/uploads/2/2/7/0/22709550/interactive_se_c… · trigonometric identities. Preview of Trig 3.2 Students prove other trigonometric
Documents
CHAPTER 39 TRIGONOMETRIC WAVEFORMSdocuments.routledge-interactive.s3.amazonaws.com/9780415662840/...t = 0, v = 0 hence, 0 = 120 sin(0 + φ), i.e. 0 = 120 sin φ ... When t = 0, i =
Documents
5.3 Solving Trigonometric Equationsthspapprecal.weebly.com/uploads/7/0/8/1/7081416/... · Section 5.3 Solving Trigonometric Equations 389 Introduction To solve a trigonometric equation,
Documents
Defense Technical Information Center Compilation Part NoticeThe curves are isotope concentration profile in the depth of the electrolyte (a) 0 lim (b) 0.031 lim, (c) 0.063 lim, (d)
Documents
KLEINSTE MOMENTE DES REALEN, oder: lim. ∆t → 0 fileKLEINSTE MOMENTE DES REALEN, oder: lim. ∆t → 0 Zeit des Computers Virtuelle Wirklichkeiten im medientechnichen Sinn sind
Documents
8.3 Trigonometric Ratios-Tangent · 8.3 Trigonometric Ratios-Tangent Geometry ... •A trigonometric ratio is a ratio of the ... 9.5 Trigonometric Ratios
Documents
4.2 Trigonometric Functions: The Unit Circlethsprecalculus.weebly.com/uploads/7/0/8/1/7081416/333202_0402_294... · Trigonometric Functions: The Unit Circle ... Adding to each value
Documents
Trigonometric Ratios and Functions Chapter 13ghcdsalgebra2.weebly.com/uploads/4/0/1/9/40191627/algebra_2-131.pdf · EXAMPLE 1 Evaluating Trigonometric ... Note that the ratios in
Documents
lim x 1 1. x -1 x 1 lim 2x x 3 2. x -1 x 1 lim 2 x 8 3. x 0
Documents