List all x-intercepts for y= -5sin(4x+pi/3) On the interval [-pi/6, pi/2)
I know that y=sin has x-intercepts at 0, pi, and 2pi on the interval of [0, 2pi] but when I try to solve it the same way here it doesn't really come out the same.
The Attempt at a Solution
This is how I tried to solve it,
-pi/6 < 4x + pi/3 < pi/2 ----> I subtract pi/3 from both -pi/6 and pi/2
= -3pi/6 < 4x < pi/6 ----> Then I divide 4 by both
= -3pi/24 < x < pi / 24
so the x-intercepts would be -3pi/24 (-pi/8) and pi/24 and the midpoint between those but I guess its wrong :(