7.8 Sinusoidal Graphs

Graph of y = sinx Period = 2𝝅 Amplitude = max – min = 1 – – 1 = 1 2 2 x y 1 –1 Period = 2𝝅 Amplitude = max – min = 1 – – 1 = 1 2 2

General Sine Curve We’ll do c & d tomorrow If a is (+), typical sine curve If a is (–), reflect through x-axis

Ex 1) Graph y = 3sinx b = 1 c = 0 a = 3 d Amp = 3 Period = 2𝝅 –3 Amp = 3 Period = 2𝝅 Increment length

Ex 2) Graph y = sin2x b c a d = 2 = 0 = 1 1 –1 Amp = 1 Per: IL:

Graph of y = cosx Period = 2𝝅 Amplitude = max – min = 1 – – 1 = 1 2 2 x y 1 –1 Period = 2𝝅 Amplitude = max – min = 1 – – 1 = 1 2 2

General Cosine Curve We’ll do c & d tomorrow If a is (+), typical cosine curve If a is (–), reflect through x-axis

Ex 3) Graph b = c = 0 a = –2 d Amp = 2 Per: IL: a = –2  reflect across x-axis

Homework #720 Pg. 452 1 – 4 all, 13 – 20 all