march 08, 2013€¦ · iii pythag identites ( the big 3) 1 2 3 ivsum & difference identities...
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![Page 1: March 08, 2013€¦ · III Pythag Identites ( the big 3) 1 2 3 IVSum & Difference Identities NEW--NEW--NEW 1 cos (A + B) = cosA cosB - sinA sinB cos (A - B) = cosA cosB + sinA sinB](https://reader033.vdocuments.us/reader033/viewer/2022060605/605a369c9ecab408f56f15b3/html5/thumbnails/1.jpg)
2011Ch7aDay3.notebook
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Chapter 7a Day 3 Sum and Difference Formulas
First, let's write the Identities that we already know!
I Reciprocal Identities
1
2
3
4
5
6
II Quotient Identities
1 2
III Pythag Identites ( the big 3)
1
2
3
IV Sum & Difference Identities NEW--NEW--NEW
1 cos (A + B) = cosA cosB - sinA sinBcos (A - B) = cosA cosB + sinA sinB
or
2 sin(A + B) = sinA cosB + sinB cosAsin(A - B) = sinA cosB - sinB cosA
or
sinθ = 1θcsc
θcos = 1θsec
θ 1θcottan =
θ 1θsincsc =
θ 1θtancot =
1θcosθsec =
θsincosθθtan = θcos
θsinθcot =
θsin2 + cos2 =1θ
θ1 + cot2 =csc2θ
θ1 + tan2 =sec2θ
![Page 2: March 08, 2013€¦ · III Pythag Identites ( the big 3) 1 2 3 IVSum & Difference Identities NEW--NEW--NEW 1 cos (A + B) = cosA cosB - sinA sinB cos (A - B) = cosA cosB + sinA sinB](https://reader033.vdocuments.us/reader033/viewer/2022060605/605a369c9ecab408f56f15b3/html5/thumbnails/2.jpg)
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More verifying identities:
ex:
![Page 3: March 08, 2013€¦ · III Pythag Identites ( the big 3) 1 2 3 IVSum & Difference Identities NEW--NEW--NEW 1 cos (A + B) = cosA cosB - sinA sinB cos (A - B) = cosA cosB + sinA sinB](https://reader033.vdocuments.us/reader033/viewer/2022060605/605a369c9ecab408f56f15b3/html5/thumbnails/3.jpg)
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ex: ϴ
ϴ
ϴ
ϴ
![Page 4: March 08, 2013€¦ · III Pythag Identites ( the big 3) 1 2 3 IVSum & Difference Identities NEW--NEW--NEW 1 cos (A + B) = cosA cosB - sinA sinB cos (A - B) = cosA cosB + sinA sinB](https://reader033.vdocuments.us/reader033/viewer/2022060605/605a369c9ecab408f56f15b3/html5/thumbnails/4.jpg)
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ex:
![Page 5: March 08, 2013€¦ · III Pythag Identites ( the big 3) 1 2 3 IVSum & Difference Identities NEW--NEW--NEW 1 cos (A + B) = cosA cosB - sinA sinB cos (A - B) = cosA cosB + sinA sinB](https://reader033.vdocuments.us/reader033/viewer/2022060605/605a369c9ecab408f56f15b3/html5/thumbnails/5.jpg)
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Assign # 34 pp450-451 (50; 52; 54; 62; 66)
ex:
![Page 6: March 08, 2013€¦ · III Pythag Identites ( the big 3) 1 2 3 IVSum & Difference Identities NEW--NEW--NEW 1 cos (A + B) = cosA cosB - sinA sinB cos (A - B) = cosA cosB + sinA sinB](https://reader033.vdocuments.us/reader033/viewer/2022060605/605a369c9ecab408f56f15b3/html5/thumbnails/6.jpg)
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1) sin 0 2) 3)
4) 5) 6)
7) 8) tan210o 9)
10)
![Page 7: March 08, 2013€¦ · III Pythag Identites ( the big 3) 1 2 3 IVSum & Difference Identities NEW--NEW--NEW 1 cos (A + B) = cosA cosB - sinA sinB cos (A - B) = cosA cosB + sinA sinB](https://reader033.vdocuments.us/reader033/viewer/2022060605/605a369c9ecab408f56f15b3/html5/thumbnails/7.jpg)
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