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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