Aim: What are the Pythagorean Identities? MB4312/3/08Lomas

HW: Read 680-683Do pg 684#15-35odd

Do Now:

Name the reciprocal identities we talked about yesterday

Name the quotient identities we talked about yesterday

HW Review: 3, 7, 12

Aim: What are the Pythagorean Identities? MB4312/3/08Lomas

HW: Read 680-683Do pg 684#15-35odd

1y

x

(x,y)

Pythagorean Theorem saysx2+y2=1

and we know that x = cosθand y = sinθ

θ

Aim: What are the Pythagorean Identities? MB4312/3/08Lomas

HW: Read 680-683Do pg 684#15-35odd

sin2 θ + cos2 θ = 1

Aim: What are the Pythagorean Identities? MB4312/3/08Lomas

HW: Read 680-683Do pg 684#15-35odd

Pythagorean Identities:

sin2 θ + cos2 θ = 1

1 + tan2 θ = sec2 θ

cot2 θ + 1 = csc2 θ

Aim: What are the Pythagorean Identities? MB4312/3/08Lomas

HW: Read 680-683Do pg 684#15-35odd

If sec A = -3 and <A is in Quad II find tan A

Express 1 + cot2 θ in terms of sine and cosine or both

Aim: What are the Pythagorean Identities? MB4312/3/08Lomas

HW: Read 680-683Do pg 684#15-35odd

csc A tan A

sec2 A - 1

Aim: What are the Pythagorean Identities? MB4312/3/08Lomas

HW: Read 680-683Do pg 684#15-35odd