list all the points on the graph of ytan x on the interval p

list all the points on the graph of y=tan x on the interval [-pi/2,2 pi] that have a y-coordinate of -1/square root 3

Solution

We have given,

y= tanx     , y= -1/square root 3

Hence we have,

tanx = -1/square root 3

=> x = arctan(-1/square root 3)

=> x = - arctan(1/square root 3)

> x= -(pi/6, pi+pi/6)

=> x= -pi/6, -7pi/6