Pg. 362 Homework Pg. 335#1 – 28, 45 – 48 Study Trig!! #45<A = 12.20°, <B = 77.80°, c = 9.46#46<B = 31°, b = 8.32, c = 9.71 #47<A = 77.45°, b = 2.80, a = 12.58#48<B = 79.8°, a = 2.57, b = We’ve done a ton of these, so I’m just writing in the ϴ and ϴ‘. Make sure you used exact value when needed/can!! #51ϴ = ϴ’ = o #52ϴ = o ; ϴ’ = o #53 ϴ = o ; ϴ’ = o #54 ϴ = o ; ϴ’ = o #55 ϴ = 315 o ; ϴ’ = 45 o #56 ϴ = o ; ϴ’ = 7.13 o #57 ϴ = 156 o ; ϴ’ = 24 o #58 ϴ = -305 o ; ϴ’ = 55 o #59 ϴ = 614 o ; ϴ’ = 74 o #60 ϴ = 213 o ; ϴ’ = 33 o
6.2 The Trigonometric Functions and the Unit Circle The Unit Circle The Unit Circle can be graphed from the equation x 2 + y 2 = 1 This means the Unit Circle has C(0, 0) and r = 1 Positive angles come from rotating counter-clockwise Negative angles come from rotating clockwise If you consider P(t) = P(x, y), then your circle begins at P(0) = (1, 0)
6.2 The Trigonometric Functions and the Unit Circle Find P(t) for the following t values The Trig Functions Let P(ϴ) = P(x, y) be the point on the unit circle corresponding to the real number ϴ. Then any angle ϴ, the following is true:
6.2 The Trigonometric Functions and the Unit Circle Find the following trig valuesFundamental Trig Identities Reciprocal Identities Tangent and Cotangent Identities Pythagorean Identities
Proving Trig Proving