Question

已知函数y=4cos²x+4根号3sinxcosx-2,x属于R(1)求函数的最小正周期

Answer 1

y = 2(1+cos2x)+2sqrt(3)sin2x - 2 = 4sin(2x+pi/6)

1.pi

2.4 -> 2x + pi/6 = pi/2 or x = pi/6

3.2x+pi/6 from -pi/2 to pi/2

4.x = pi/6