Question

Question #19e0d

Answer 1

The algebraic method solves this trig inequality by creating a Sign Chart (Sign Table).
I can't help because I can't create the sign chart with this Socratic format. You may find the method in any trig book.
This book may help: "Solving trig equations and inequalities" by Wendy Lawson - Amazon books.

The fastest way is to graph the function
`F(x) = (tan x + 1)/(4sin^2 x - 3)` by graphing calculator.
The parts of the graph that are below the x-axis are the answers
inside interval `(0, 2pi)`.