Upload File

sin law & cos law

6
Sin Law & Cos Law 3-4 Prof. Seewhy Lee

Upload: maia

Post on 23-Feb-2016

88 views

Category:

Documents


0 download

Report

DESCRIPTION

3-4. Sin Law & Cos Law. Prof. Seewhy Lee. Stealth Fighter Not detected to RADAR No reflection!. Agenda. 3-4-1. 사인법칙 3-4-2. 제 1 코사인법칙 3-4-3. 제 2 코사인법칙. 3-4-1. 사인법칙. 3-4-2. 제 1 코사인법칙. 통과 ! . 3-4-3. 제 2 코사인법칙. 피타고라스 정리의 일반화. c. b. θ. a. Thanks! . Prof. Seewhy Lee. - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: Sin Law & Cos Law

Sin Law & Cos Law3-4

Prof. Seewhy Lee

Page 2: Sin Law & Cos Law

Agenda

3-4-1. 사인법칙

3-4-2. 제 1 코사인법칙

3-4-3. 제 2 코사인법칙

Stealth FighterNot detected to RADAR

No reflection!

Page 3: Sin Law & Cos Law

3-4-1. 사인법칙

DC

cB

bA

a

sinsinsin

Page 4: Sin Law & Cos Law

3-4-2. 제 1 코사인법칙

Page 5: Sin Law & Cos Law

피타고라스 정리의 일반화

c

a

bcos2222 abbac

θ

3-4-3. 제 2 코사인법칙

)( bac

Page 6: Sin Law & Cos Law

sin = sin cos + cos sin sin cos - cos sin 2 cos = cos cos - sin sin cos = cos cos ...faculty.pingry.k12.nj.us/vmcgrath/documents/11ADDITION... · 2010-05-18 · sin . = sin cos +

New  · 2017-02-25 · 31 IF cm CDu (f stick fixed cos sm —sin v cosig T cos O sin 6 cos 9 — sin cos 0 sin 0 cos sin 0 —sin 0 COS O sine cos B sin 0 cos0 —sine cost) cos cp

Ms. Wilson's Math Classeslsamathwilson.weebly.com/uploads/2/2/5/4/22546314/pc_5-4...cos 150 cos 600 + sin 150 sin 600 cos — + cos sin Sin — 12 12 37 . 3m — sin cos — cos srn

CHAPTER 5 Analytic Trigonometry · Section 5.1 Using Fundamental Identities 383 32. sec csc csc cot 1 cos 31. sin tan x x 1 sin sin cos sec x 33. 1 cos sin cos sin 1 sec sin tan 1

TEORIJA ELEKTRIČNIH KOLA · 2006-11-08 · Trigonometrijske i hiperbolne funkcije Veza izme u trigonometrijskih i hiperbolnih funkcija cos sin cos sin cos sin 22 cos sin 22 j xjx

cos2 cos sin A A A 22 2cos 1 A 1 2sin A - Nicolson Institute Unit Practice.pdf22 2 2 sin sin cos cos sin cos cos cos sin sin sin2 2sin cos cos2 cos sin 2cos 1 1 2sin A B A B A B A

New - saednews.com · 322F dx A = (sin x) + 1 sin Sin —1 sin e lim (COS (cos (cos (cos dx

317-F · 317F cos — cos — Sin Sin cos cos cos i + cos —2 i + SlnY— J —2 i + sin —Zi + sin nC

SECOND EDITION ADVANCED ENGINEERINGread.pudn.com/downloads652/ebook/2651962/Advanced...b/2 /2 Sin cos sin 9 sin 4) —Eo sin" T cos rab cos X sin Y sine — cos —z sin = COS —X

SPRING 2018 - MS. FERRERAS - Pre-Calculus€¦ · cos 18 18 137 13T + i Sin 1/6 2 cos 87. 2 2 cos 77. 3 cos + i sin — 3 cos — + i sin 157 117 157 + i Sin 3 cos 1 _ ± _ i + i

 · sin cos sin sin xr yr 22 2 cos (1 ) rx yz z zr cos 22 2. 22

(Aus Barth; Anschauliche Geometrie ; Klasse 10; …178/1. a) sin + sin cos 1200 + cos sin 1200 + sin cos 2400 + cos sin 2400 = sin — - sin (1 + - 3 cos — - sin 01 + - 3 COS = 0

Tree Heights From Shadows - asprs.org · From spherical trigonometry, cos a = b cos c +sin b sin c cos A. Correspondingly in Fig. 1, cos (90 0-h) = cos (90 - cf »cos (90 - d)+ sin

mrgleason.weebly.commrgleason.weebly.com/uploads/1/3/9/7/13977727/day_15_-_degrees-all... · sin 300 sin 80 sin 500 cos 2130 2) 4) 6) 8) cos sin 3100 cos 500 sin 1690 sin 2300 cos

Integration by Substitution-4 file4 1 4 1 2 x Sin O) C 8 Sin 12 x x Sin — 12 sin 4x cos 7 x + — cos x + C cos6 x 2 tan cos4 x + C cos cos 1 cos 6x 6 1 sin 4x cos 4x sin 12x cos2x

1a 1b - sci.wsu.edu · 1a 1b Table of Trig Functions sin cos tan = sin cos sin cot = cos ( ) sec = 1 cos( ) csc = 1 sin( ) Obtain co-functions in right column from left column by

Sin & Cos Graphs

s3-ap-southeast-1.amazonaws.com...sin 6 a + cos6 a — sin a + cos a sin2 a + cos a sin a + cos a sin a cos a Lòi gal sin 4 x + 6cos2 + 3cos4x+ cos + 6sin2 + 3sin4 b) 1 cot x cot

Complex Vibrations & Resonance...Now use the trigonometric identity: sin sin cos sin cos()A = BAB BA 22 2 2,sin cos cos sin x txt yxt A A pp pp lt lt =-æöæö æöæöçç ç ç÷÷

التالي؟ التعبير يكافئ يأتي مما أّي 1 sin x° cos y° cos x° sin y° + ( sin

MAT170 SPR 2009 Material for 3rd Quiz. Sum and Difference Identities: ( sin ) sin (a + b) = sin(a)cos(b) + cos(a)sin(b) sin (a - b) = sin(a)cos(b) - cos(a)sin(b)

Tensor decomposition of polarized seismic waves · V TGR=[u, v 2]= 2 4 cos cos cos sin sin cos sin sin sin cos 3 5 If the complex envelope of the source signal is denoted by s(t),

Polygon Design Data - stoffelpolygonsystems.com · .545 .455.680 .570.815 .685.945 .805.905 ... cos e cos n cos ne sin n sin sin e cos n sin ne sin n cos Ix t l Da Di e n = The angle

HendeseTahliliZarbD&Kh - انتشارات خیلی سبز sir sin + sin + sin = sin r + sin Y + sin r -y cos + cos + cos (r COS r Isinacosa+sin I Fin + sin cos + sin -y I Sin -Y Sin

Teachingbd24...sin A . cos A I sin A . cos A sin A cos A sin A cosecA . secA + I = secA.cosecA + I cos A 4 (Ans.) 16xy — 16xy —V) sec tan cos 9 — cot cote = — tan9. tan9 cose

Lattice Design in Particle Accelerators Bernhard Holzer, DESYcas.web.cern.ch/sites/cas.web.cern.ch/files/... · cos sin sin ()cos(1 )sin cos sin ⎛⎞ ⎜⎟+ ⎜⎟ =⎜⎟ ⎜⎟−−+−

wangsajaya.files.wordpress.com...cos x — sin x (A) I — cos 2x (B) I — sin 2x I + cos 2x I — cos 2x 1+2 sin x (D) I — 2 sin x I + sin 2x (E) 1 — sin 2x Halaman I dari 9

Chapter 5 Analytic Trigonometry - WordPress.com211 - cos x2 sin x11 - cos x2 sin x 1 - cos x + 1 - cos x sin x = sin2 x + 11 - cos x22 sin x11 - cos x2 cos2 x sin x cos x = cos x sin

球面三角法§’の余弦則 cos 𝐴= −cos 𝐵cos 𝐵+ sin 𝐵sin 𝐵cos 𝑎 cos 𝐵= −cos 𝐵cos 𝐴+ sin 𝐵sin 𝐴cos 𝑏 cos 𝐵= −cos 𝐴cos 𝐵+ sin

rikard/DATA/Materijali/Papir za ispit.pdf(cot2a— 1)/2 cot a — 3 sin a — 4 sin" a — 4 cos a — 3 cos a ± sin cos a ± tan a + cot a I — cos 2 a + cos 2 a + 13 2 sin 2 COS

Hybrid CORDIC 2.A Sine/Cosine Generator 20170805 · 2017. 8. 5. · Sin(x) cos(x) -0.5 Sin(x) cos(x) -0.5 Sin(x) cos(x) -0.5 Sin(x) cos(x) -0.5 Sin(x) cos(x) -0.5 Sin(x) cos(x) -0.5

Guides d’ondescsmaniac.free.fr/STRI/cours/L2/Guide d'ondes/guides d'ondes... · cos cos) (exp sin cos) (exp cos sin 0) (exp cos sin) (exp sin cos 0 0 0 0 0 z k t j b y n a x m H

Subtraction Formula for Cosine - Noorduyn's Math …...Compound Angles cos(x+ y) = cos x cos y — sin x sin y cos(x — y) = cos x cos y + sin x sin y 1. Express each of the following

1989 Visualizacao Dados Resultados - alvaroazevedo.com · cos a sin cosó + sin Q' sm sin + cos a sin 0 + sin a Sin a Sin — cos a sm . ENGENHARIA 3. SHADING DE SUPERFíClES APROXIMADAS

s3-ap-southeast-1.amazonaws.com · 1 - 700 sin 100 sin 100 cos 800 sin 100 cos 600 2 sin 2 sin 2 sin sin cos — cos cos sin sin z cos o Z sm IZ Z sm 24 z cos 4 sin 120 sin 60 cos