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)