march 08, 2013€¦ · iii pythag identites ( the big 3) 1 2 3 ivsum & difference identities...
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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
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More verifying identities:
ex:
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ex: ϴ
ϴ
ϴ
ϴ
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ex:
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Assign # 34 pp450-451 (50; 52; 54; 62; 66)
ex:
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1) sin 0 2) 3)
4) 5) 6)
7) 8) tan210o 9)
10)
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