(2x )⎤ ⎣ ⎝ ⎠⎦ π ⎡ = 1 cot − y = = π; 2; ⎢ 2 A T 18. ⎥ φ = − 2 ω ⎦ ω = 2π = 2π = 2 φ φ = = − 2 ⎣ ω π φ T = − 4 2 Assuming is positive, we have that A φ = sin(ω − ) = 2 sin(2 + 4) y A x x ( = 2 sin ⎡⎣2 + 2)⎤⎦ x
⎣ ⎝ ⎠⎦ ⎡ y = 1 cot (2x − π )⎤ 18. A = 2; T = π; φ = − 2 ⎢ 2 ⎥ ω ω = 2π = 2π = 2 ⎣ ⎦ φ = φ = − 2 T π ω 2 φ = − 4 Assuming A is positive, we have that y = A sin(ω x − φ ) = 2 sin(2 x + 4) = 2 sin ⎡⎣2 ( x + 2)⎤⎦
62514-0132318806_ISM_02-1.docx