6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle...

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6.3 Double Angle Formulas 1 November 14, 2017 Learning Goal: I will develop and use double angle formulas Minds On: Same or different? Action: Double Angle Formulas Investigation and Practice Consolidation: Exit Question

Transcript of 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle...

Page 1: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

1

November 14, 2017

Learning Goal: I will develop and use double angle formulas

Minds On: Same or different?

Action: Double Angle Formulas ­ Investigation and Practice

Consolidation: Exit Question

Page 2: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Minds On

Determine the exact value of the expression below

tan (30o ­ 45o)

Page 3: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Page 4: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Page 5: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

How do we write (sin x)(sin x)?

Page 6: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Minds On

Describe f(x) = sin(2x) and f(x) = 2 sin(x)

Are they the same or different?

Same or Different?

Page 7: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Action

Page 8: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Page 9: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Page 10: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Page 11: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Action

Page 12: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Action

Page 13: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Page 14: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Action

Page 15: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Action

Page 16: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

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November 14, 2017

Page 17: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

6.3 ­ Double Angle Formulas

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November 14, 2017

Consolidation

Page 18: 6.3 - Double Angle Formulas · Given sin 29 = sin (9 + 9), use the appropriate compound angle formula to expand the right side of the equation. Simplify both sides to develop a formula

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Pg. 407

2, 4, 6, 9, 11


Mark Scheme (Results) GC… · 8/3/2018  · January 2018 Publications Code 4PM0_02_1801_MS ... M1 Use of either correct (radian) formula with their angle from (a) or the degree formula

Mark Scheme (Results) GC… · 8/3/2018  · January 2018 Publications Code 4PM0_02_1801_MS ... M1 Use of either correct (radian) formula with their angle from (a) or the degree formula

Sensors 2008 sensors - MDPISensors 2008, 8 1723 Based on trigonometry, the generalized distance formula of this system is derived as below: 11 11 [( sin )cos cos sin ] cos [( sin )cot

Sensors 2008 sensors - MDPISensors 2008, 8 1723 Based on trigonometry, the generalized distance formula of this system is derived as below: 11 11 [( sin )cos cos sin ] cos [( sin )cot

Name Angle PAirs - WSDblog.wsd.net/keperkins/files/2015/01/May-4-skills-15.pdf · ... you used the degree formula to find unknown angle measures ... pairs to solve for missing angle

Name Angle PAirs - WSDblog.wsd.net/keperkins/files/2015/01/May-4-skills-15.pdf · ... you used the degree formula to find unknown angle measures ... pairs to solve for missing angle

 · cot 9 = adj adj 1350 1800 2100 adj opp Circular function definitions, where Ð is any angle. sin x — CSC x cscx — sin x sin x tan x — cos x sin = cos e = tan Ð tan x —

 · cot 9 = adj adj 1350 1800 2100 adj opp Circular function definitions, where Ð is any angle. sin x — CSC x cscx — sin x sin x tan x — cos x sin = cos e = tan Ð tan x —

Proof of the Angle Sum Formula

Proof of the Angle Sum Formula

iblog.dearbornschools.org A Proof sin B law of sines sin C or sin A sin B sin C Let AABC be any triangle. To find the area of AABCwith the SAS Formula, any two sides and their included

iblog.dearbornschools.org A Proof sin B law of sines sin C or sin A sin B sin C Let AABC be any triangle. To find the area of AABCwith the SAS Formula, any two sides and their included

Essentialformulae - Amazon S3 · Compound angle formulae: sin(A±B)=sin AcosB ±cosAsinB cos(A±B)=cosAcosB ∓sin AsinB tan(A±B)= tanA±tanB 1∓tanAtanB If R sin (ωt+α)=a sin

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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

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

€¦ · [4 marks] markahl QUESTION 3 By using the equation below n I sin 01 = n 2 sin 02 (112/01) show the critical angle formula, sir; SOALAN 3 Dengan menggunakan persamaan di bawah

€¦ · [4 marks] markahl QUESTION 3 By using the equation below n I sin 01 = n 2 sin 02 (112/01) show the critical angle formula, sir; SOALAN 3 Dengan menggunakan persamaan di bawah

Downloaded from: ...problems based upon equal chords, angle subtended at centre by an arc / chord of a circle, angle in semicircle and segments. Trigonometrical ratios of angles (Sin,

Downloaded from: ...problems based upon equal chords, angle subtended at centre by an arc / chord of a circle, angle in semicircle and segments. Trigonometrical ratios of angles (Sin,

Web viewDistance Formula, Midpoint Formula, Area and perimeter formulas, Acute angle, Congruent, Conjecture, Line, Obtuse, angle, Midpoints, Angle, Right angle

Web viewDistance Formula, Midpoint Formula, Area and perimeter formulas, Acute angle, Congruent, Conjecture, Line, Obtuse, angle, Midpoints, Angle, Right angle

Formula™TRE Setup Instructions SAVE THESE ... - InvacarePart No 1125061 3 Formula™TRE Setup Instructions 1. Tilt the seating system to the desired tilt limit angle. NOTE: This

Formula™TRE Setup Instructions SAVE THESE ... - InvacarePart No 1125061 3 Formula™TRE Setup Instructions 1. Tilt the seating system to the desired tilt limit angle. NOTE: This

UT Formula Sheet - IUOE 112 · 2019. 1. 15. · General UT Equations Wavelength = V / F Near Field = (D2 x F) / (4 x V) Half Angle Beam Spread = (K x V) / (D x F) Snell’s Law (Sin⍬1

UT Formula Sheet - IUOE 112 · 2019. 1. 15. · General UT Equations Wavelength = V / F Near Field = (D2 x F) / (4 x V) Half Angle Beam Spread = (K x V) / (D x F) Snell’s Law (Sin⍬1

KM 754e-20170113122903 · PDF fileMath Formula Sheet for AFM and Pre-Calculus b2 = Arithmetic Sequence and Series n (a + an) Law of Sines sin A sin B sin C Geometric Sequence and Series

KM 754e-20170113122903 · PDF fileMath Formula Sheet for AFM and Pre-Calculus b2 = Arithmetic Sequence and Series n (a + an) Law of Sines sin A sin B sin C Geometric Sequence and Series

Unit 6 Practice · 2019. 7. 19. · 19. 20. 21. 22. 23. 26. 28. Case 2: B 148.70 This case must be discarded since the angle A would be negative. a sin B 12 sin 200 sin A = 0.8208

Unit 6 Practice · 2019. 7. 19. · 19. 20. 21. 22. 23. 26. 28. Case 2: B 148.70 This case must be discarded since the angle A would be negative. a sin B 12 sin 200 sin A = 0.8208

Central Bucks School District … · Use Double Angle Formulas to solve trig equations and verify trig identities. Double Angle Formulas: sin 211 2sin u cosu cos 211 — — cos u

Central Bucks School District … · Use Double Angle Formulas to solve trig equations and verify trig identities. Double Angle Formulas: sin 211 2sin u cosu cos 211 — — cos u

10.3 Double-Angle and Half-Angle Formulas Objective 1)To derive and apply double-angle and half-angle formula for sine, cosine, and tangent. 2)To use the.

10.3 Double-Angle and Half-Angle Formulas Objective 1)To derive and apply double-angle and half-angle formula for sine, cosine, and tangent. 2)To use the.

4.4: Compound Angle Formulasmistermarinelli.weebly.com/uploads/2/4/3/3/... · 4.4 Compound Angle Formulas.notebook 3 May 04, 2014 Proving the difference formula for cosine: cos(x

4.4: Compound Angle Formulasmistermarinelli.weebly.com/uploads/2/4/3/3/... · 4.4 Compound Angle Formulas.notebook 3 May 04, 2014 Proving the difference formula for cosine: cos(x

SCREW THREADS - WorldRadioHistory.Com · 2019. 9. 24. · In the case of a Whitworth thread, the thread angle is 55° (included angle), and the following formula which applies to

SCREW THREADS - WorldRadioHistory.Com · 2019. 9. 24. · In the case of a Whitworth thread, the thread angle is 55° (included angle), and the following formula which applies to

Level 1/Level 2 GCSE (9–1) Tuesday 11 June 2019 · 2019-09-13 · FA BC EF CD Angle ABC 117° Angle BCD 2 u angle CDE Work out the size of angle AFE. ... 25 43 82 5052 .sin.. ×°

Level 1/Level 2 GCSE (9–1) Tuesday 11 June 2019 · 2019-09-13 · FA BC EF CD Angle ABC 117° Angle BCD 2 u angle CDE Work out the size of angle AFE. ... 25 43 82 5052 .sin.. ×°