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2013Ch7aday2.notebook
Chap7Aday2 1
March 07, 2013
2013Ch7aday2.notebook
Chap7Aday2 2
March 07, 2013
I Reciprocal Identities
1
2
3
4
5
6
II Quotient Identities
1 2
III Pythag Identites ( the big 3)
1
2
3
First let's review our Identities
First, let's write the Identities that we already know!I Reciprocal Identities
II Quotient Identities
III Pythag Identites ( the big 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
2013Ch7aday2.notebook
Chap7Aday2 3
March 07, 2013
Math Analysis & Trigonometry: Trig Identities (day2)
Rules for Identities:1) Start with the side containing the more complicated expression.2) Only work with one side3) Rewrite sums and differences of quotients as a
single quotient (ie find LCD)4) Change to sine and cosine5) Keep the end in sight. Know where you are headed.
ex: csc cos = cot
ex: cos (tan +cot ) = csc
ex: tan cot - cos2 = sin2
2013Ch7aday2.notebook
Chap7Aday2 4
March 07, 2013
ex: sec - tan = cos1 + sin
1 - sincosex: + cos
1-sin = 2 sec
2013Ch7aday2.notebook
Chap7Aday2 5
March 07, 2013
ex: tanx - cotxtanx + cotx + 1 = 2sin2x
Assign Pp 450-451 (2, 6, 8, 10, 16, 20, 32, 46)
2013Ch7aday2.notebook
Chap7Aday2 6
March 07, 2013
2013Ch7aday2.notebook
Chap7Aday2 7
March 07, 2013
1) sin 0 2) 3)
4) 5) 6)
7) 8) tan210o 9)
10)