Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and...

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SUM & DIFFERENCE IDENTITIES Mr. Velazquez Honors Precalculus

Transcript of Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and...

Page 1: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE IDENTITIES

Mr. Velazquez

Honors Precalculus

Page 2: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE FORMULAS

Page 3: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE FORMULAS

Prove

Page 4: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE FORMULAS

Page 5: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE FORMULAS

Page 6: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE FORMULAS

Page 7: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE FORMULAS

Page 8: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE FORMULASSuppose that cos 𝜃 = −3/5 for an angle 𝜃 in quadrant II, and cos 𝛽 = 12/13 for an angle 𝛽 in quadrant I. Find the exact value for each of the following:

1. sin 𝜃 =

2. sin 𝛽 =

3. sin 𝜃 + 𝛽 =

4. cos 𝜃 + 𝛽 =

Page 9: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE: TANGENTS

Page 10: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE: TANGENTS

Page 11: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

SUM & DIFFERENCE: TANGENTS

Page 12: Sum & Difference Identities - WordPress.com · use the sum and difference identities for sine and cosine to prove the sum and difference formulas sin for tangent. (Remember tan =

CLASSWORK & HOMEWORKSuppose that cos 𝛼 = −3/5 (for an angle 𝛼 in quadrant II) and that sin 𝛽 = 7/25 (for an angle 𝛽 in quadrant I). Use this information to find the exact values for the following:

Homework:

Trigonometry HW 4

(MathXL)


Splash Screen. Lesson Menu Five-Minute Check (over Lesson 132) CCSS Then/Now Key Concept: Sum Identities/Difference Identities Example 1:Find Trigonometric.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 132) CCSS Then/Now Key Concept: Sum Identities/Difference Identities Example 1:Find Trigonometric.

L2 - Sum/Difference Identitiesdobsonmath.weebly.com/uploads/1/1/8/0/11809374/l2... · Unit 11: Trigonometric Identities Lesson 2 Sum and Difference Identities The Sum Identities are:

L2 - Sum/Difference Identitiesdobsonmath.weebly.com/uploads/1/1/8/0/11809374/l2... · Unit 11: Trigonometric Identities Lesson 2 Sum and Difference Identities The Sum Identities are:

5-4 Sum and Difference Identities€¦ · 5-4 Sum and Difference Identities Write 75 as the sum or difference of angle measures with cosines that you know. sin (±210 ) 62/87,21 Write

5-4 Sum and Difference Identities€¦ · 5-4 Sum and Difference Identities Write 75 as the sum or difference of angle measures with cosines that you know. sin (±210 ) 62/87,21 Write

Sum/Difference Angle Identities It will be helpful to have a …...Sum/Difference Angle Identities It will be helpful to have a filled in Unit Circle to refer to as you work through

Sum/Difference Angle Identities It will be helpful to have a …...Sum/Difference Angle Identities It will be helpful to have a filled in Unit Circle to refer to as you work through

Central Bucks School District...Sum & Difference Identities -0143E+3S- Find the exact value of tan(3450). (Xls - +qn(ào) J- 1+ 3+6 . Double Angle Identities sin2x : 2sinxcosx cos2x

Central Bucks School District...Sum & Difference Identities -0143E+3S- Find the exact value of tan(3450). (Xls - +qn(ào) J- 1+ 3+6 . Double Angle Identities sin2x : 2sinxcosx cos2x

27th september 2012 summ and difference identities

27th september 2012 summ and difference identities

5-4 Sum and Difference Identities - Montville Township … the exact value of each trigonometric expression. cos 75 62/87,21 Write 75 as the sum or difference of angle measures with

5-4 Sum and Difference Identities - Montville Township … the exact value of each trigonometric expression. cos 75 62/87,21 Write 75 as the sum or difference of angle measures with

Sum and Difference Identities Key - Mathematicskachinskymath.weebly.com/uploads/2/4/5/5/24556738/sum... · Web viewSum and Difference Identities KEY Classify each statement as true

Sum and Difference Identities Key - Mathematicskachinskymath.weebly.com/uploads/2/4/5/5/24556738/sum... · Web viewSum and Difference Identities KEY Classify each statement as true

5.4 Sum and Difference Formulas

5.4 Sum and Difference Formulas

5.3 Notes - Sum and Difference Identitieslinford-math.weebly.com/.../6/4246372/...sum_and_difference_identiti… · Sum and Difference Identities for Cosine Often, an angle can be

5.3 Notes - Sum and Difference Identitieslinford-math.weebly.com/.../6/4246372/...sum_and_difference_identiti… · Sum and Difference Identities for Cosine Often, an angle can be

Slide 1-1 5.1 Fundamental Identities 5.2 Verifying Trigonometric Identities 5.3 Sum and Difference Identities for Cosine 5.4 Sum and Difference Identities.

Slide 1-1 5.1 Fundamental Identities 5.2 Verifying Trigonometric Identities 5.3 Sum and Difference Identities for Cosine 5.4 Sum and Difference Identities.

Weeblyhsawilson.weebly.com/uploads/1/3/1/5/13150258/trig_sum_and_diff_id_pdf.pdfVerify Reduction Identities: Sum and difference identities can be used to rewrite trigonometric expressions

Weeblyhsawilson.weebly.com/uploads/1/3/1/5/13150258/trig_sum_and_diff_id_pdf.pdfVerify Reduction Identities: Sum and difference identities can be used to rewrite trigonometric expressions

5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and.

5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and.

&K 7ULJ ,GHQWLWLHV 3DJH€¦ · Double Angle Identities Use the Sum and Difference Identities to find an expression for sin(2A). (note: = A) ) a) Determine whether each equation is

&K 7ULJ ,GHQWLWLHV 3DJH€¦ · Double Angle Identities Use the Sum and Difference Identities to find an expression for sin(2A). (note: = A) ) a) Determine whether each equation is

Jim Wilson's Home Pagejwilson.coe.uga.edu/EMAT6680Fa2012/Randolph/6690... · Web viewDerivations of the other three sum and difference identities that are part of the GPS are much

Jim Wilson's Home Pagejwilson.coe.uga.edu/EMAT6680Fa2012/Randolph/6690... · Web viewDerivations of the other three sum and difference identities that are part of the GPS are much

Sum and Difference Identites...73 Sum & Difference Identities May 12, 2015 Find the exact value if 0 < x < 90º and 0 < y < 90º. PreCalc/Trig A ...

Sum and Difference Identites...73 Sum & Difference Identities May 12, 2015 Find the exact value if 0 < x < 90º and 0 < y < 90º. PreCalc/Trig A ...

Sum and Difference Formulas

Sum and Difference Formulas

Finite Binomial Sum Identities with Harmonic Numbers

Finite Binomial Sum Identities with Harmonic Numbers

7-3: Sum and Difference Identitiesplankmathclass.weebly.com/uploads/5/4/6/7/54676493/... · Lesson 7-3 Sum and Difference Identities 441 If and represent the measures of two angles,

7-3: Sum and Difference Identitiesplankmathclass.weebly.com/uploads/5/4/6/7/54676493/... · Lesson 7-3 Sum and Difference Identities 441 If and represent the measures of two angles,

WSS Easby - Home Page...identities, sum or difference identities, and double angle identities. Review Use an algebraic procedure to solve the following equations on the given domain.

WSS Easby - Home Page...identities, sum or difference identities, and double angle identities. Review Use an algebraic procedure to solve the following equations on the given domain.