Question

How do you find all solutions of the equation in the interval `[0,2pi)` given `3csc^2 5x=-4`?

Answer 1

No solution.

Explanation:

As `3csc^2 5x=-4`

`csc^2 5x=-4/3`

or `(cscx)^2=-4/3`

As square of a ratio cannot be negative,

it has no solution.