ω and = 1 . Thus, the amplitude = 2 = 2 2 2 is A 1 1 and the period is = 2π = 2π = 2π T = − = and the period is A 2 2 . ω 1 = 2π = 2π = 4π . T 20. = 2 cos(ω y A x) This is in the form = 3 A where = y x 3 ω and = 1 . Thus, the amplitude is = 3 = 3 26. A = 4 sin ⎛ 2 ⎞ y x 3 ⎜ 3 ⎟ ⎝ ⎠ and the period is = 2π = 2π = 2π . 4 T ω 1 This is in the = sin(ω where = y A x) A form 3 − 4 cos(2x) Thus, the amplitude is 21. ω and = 2 . = = 4 4 = A y This is in the form 3 3 3 = cos(ω where y A x) ω = − 4 and = 2 . Thus, the amplitude A is and the period is = 2π = 2π = 3π . T = − A 2 = 4 and the period is 3 4 = 2π = 2π = π . T ω 2
and ω = 1 . Thus, the amplitude is A = 2 = 2 2 2 1 1 and the period is T = 2π = 2π = 2π . A = − 2 = and the period is 2 ω 1 T = 2π = 2π = 4π . 20. y = x This is in the form y = A cos(ω x) where 3 2 A = 3 and ω = 1 . Thus, the amplitude is A = 3 = 3 26. y = 4 sin ⎛ 2 x ⎞ 3 ⎜ 3 ⎟ ⎝ ⎠ and the period is T = 2π = 2π = 2π . 4 ω 1 This is in the form y = A sin(ω x) where A = 3 21. y = − 4 cos(2x) and ω = 2 . Thus, the amplitude is A = 4 = 4 This is in the form y = A cos(ω x) where 3 3 3 A = − 4 and ω = 2 . Thus, the amplitude is and the period is T = 2π = 2π = 3π . A = − 4 2 = 4 and the period is 3 T = 2π = 2π = π . ω 2
62514-0132318806_ISM_02-1.docx