1.Simplify the expression (sin x+cos x)^2 - sin2x
2.Determine the period, amplitude, and phase shift of f(x) = 2/3sin(4x+pie)
Is the amplitude: 2/3, period: 2pie/4
phase shift: -pie/4
1.
(sin x+cos x)^2 - sin2x
= sin^2 x + cos^2 x + 2sinxcosx - 2sinxcos
= 1
2. correct