Pythag Identities

Aim: What are the Pythagorean Identities? HW Review: 3, 7, 12 Now: Do

Find the exact value of csc -150 o

Name the reciprocal identities we talked about yesterday Name the quotient identities we talked about yesterday

MB43 5/5/09 Lomas HW: Read 680683 Do pg 684 #15-35odd, skip 17,23

Aim: What are the Pythagorean Identities?

HW: Read 680683 Do pg 684 #15-35odd, skip 17,23

(x,y) 1 θ

x

MB43 5/5/09 Lomas

y

Pythagorean Theorem says x +y =1 2

2

and we know that x = cosθ and y = sinθ

Aim: What are the Pythagorean Identities? 2 2

sin θ + cos θ = 1

MB43 5/5/09 Lomas HW: Read 680683 Do pg 684 #15-35odd, skip 17,23

Aim: What are the Pythagorean Identities?

Pythagorean Identities:

sin θ + cos θ = 1 2

2

tan θ + 1 = sec θ 2

2

1 + cot θ = csc θ 2

2

MB43 5/5/09 Lomas HW: Read 680683 Do pg 684 #15-35odd, skip 17,23

Aim: What are the Pythagorean Identities? Express 1 + cot θ in terms of sine and cosine or both 2

If sec A = -3 and
MB43 5/5/09 Lomas HW: Read 680683 Do pg 684 #15-35odd, skip 17,23

Aim: What are the Pythagorean Identities? Express in terms of sine and cosine or both

csc A tan A

If cot A = -√15 and
sec A - 1 2

MB43 5/5/09 Lomas HW: Read 680683 Do pg 684 #15-35odd, skip 17,23

Aim: What are the Pythagorean Identities?

MB43 5/5/09 Lomas HW: Read 680683 Do pg 684 #15-35odd, skip 17,23