Question

How do you solve `tan(x)csc^2(x)cos(x)=0`?

Answer 1

`tan(x)csc^2(x)cos(x) = 0`

`tan(x) (1/sin^2(x))(cos(x)) = 0`

`(sin(x))/cos(x)* (cos(x))/(sin(x))(1/sinx) = 0`

`1/sinx = 0`

`cscx = 0`

`x` is undefined.

You can see it on the graph:

Graph of `csc x`

graph{csc x [-10, 10, -5, 5]}