8 6 sin cos ratios

8-6 8-6 The Sine and Cosine Ratios The Sine and Cosine Ratios

Upload: guest80db62

Post on 30-Jun-2015

385 views

Category:

Education

4 download

Report

Download

Embed Size (px):

TRANSCRIPT

8-68-6

The Sine and Cosine RatiosThe Sine and Cosine Ratios

Review TangentReview Tangent

tanopp

xadj

X Z

opp

adj

hyp

Tangent exampleTangent example

X Z

34ͦ

tan 3414

0.674514

9.4a

What about the What about the hypotenuse?hypotenuse?

X Z

34ͦ

SineSine

sinopp

xhyp

X Z

opp

adj

hyp

CosineCosine

cosadj

xhyp

X Z

opp

adj

hyp

How are we going to How are we going to keep this all together?keep this all together?

SOHCAHTOASOHCAHTOA

sin

cos

tan

oppx

adj

adjxhyp

oppx

adj

s =

c =

t =

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

Trigonometry Objectives: The Student Will … Find trigonometric ratios using right Triangles Solve problems using trigonometric ratios HOMEWORK: Sin, cos,

Topic 2 Periodic Functions and Applications I. trigonometry – definition and practical applications of the sin, cos and tan ratios simple practical

INTRODUCTION TRIGONOMETRY TO 8 - Exemplar … · (meaning three), ‘gon’ ... called trigonometric ratios of the angle. ... the reciprocals of the ratios sin A, cos A and tan A

Warm up for 8.5 Compare the ratios sin A and cos B Compare the ratios sec A and csc B Compare the ratios tan A and cot B pg 618

Trigonometric Identities and Equations · Pythagorean identity p. 313 Pitagoras identidad ... sm 9 cos 9 sm 9 cos I l — cos2 e sin 9 cos 9 sin2 6 sin 9 cos 9 sin 9 cos 9 or tan

Evaluate (a) sin 30°(b) sin 150° (c) sin 60°(d) sin 120° (e) cos 40°(f) cos 140° (c) cos 10°(d) cos 170°

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

17. Numerical Filteringhomepage.ntu.edu.tw/~wttsai/fortran/ppt/17.Numerical_Filtering.pdf · = 0.5×sin()−0.3×cos(2)+0.7×cos(12)+0.5×sin(48)−0.6×cos(64) 0.5×sin() 0.5×sin()−0.3×cos(2)

Answers to Chapter 3 - mrvahora.files.wordpress.com... (2.50c) i sin(2.50c)) i 2 √ __ 3 √ __ 7 (cos( 0.71c) i sin( 0.71c)) ... i sin 7___ 12) c 18 cos ... i sin 2___ 7 cos 4___

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

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

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

Sin & Cos Graphs

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

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

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

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

int(sin n cos)

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

· PDF file · 2014-02-04cos O sin 9 cos t) 0 o cos 9 —sin 0 0 ... 2.13 Prove the following: (Hint: ... — cos sin cos —sin 2.17 Given that A 3a + + az and B 5ap — 8az, find:

Matma Tablica Cos Sin

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÷÷

Warm-Up 3/24-25 What are three basic trigonometric functions and the their ratios? Sine: sin Cosine: cos Tangent: tan

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

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

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

Scanned with CamScanner · 2019. 12. 1. · cos4 x — sin4 x = cos 2x = I + sin2x (sin x + cos x)2 I + cos I()y = 2 cos2 5y 59. 6 sin — cos — 61. sin 59 cos 39 63. 5 cos(—5ß)

Trigonometry-4 Ratios of the Sides of Triangles. The meaning of sin, cos and tan sin is short for sine cos is short for cosine tan is short for tangent

bestforall.tnedu.gov · Web viewKey Terms Sentence Frames Scaffolded Questions trigonometric ratios (trig ratios) sine (sin) cosine (cos) tangent (tan) Pythagorean Theorem Sine, cosine,

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

Trigonometry. sin, cos, or tan ? 32m x 24 sin, cos, or tan ? x 13 35

sin .cos ∫ - MT Educare,mteducaresouth.com/images/maths/homework/Indefinite-Integration-13... · sin cos + sin .cos sin .cos x x dx ... = x2 + 3x +7 log |7x – 1|+ c Q-10)

8 6 Sin Cos Ratios Noted

Use the 3 ratios – sin , cos and tan to solve application problems