Question

How do you solve `tan x sec x = 0`?

Answer 1

`x = kpi, k` any integer

Explanation:

`tanx secx=0`
`sinx/cosx xx 1/cosx=0`
`sinx/cos^2 x = 0`
`sinx = 0`
`x = kpi, k` any integer

Answer 2

`x=kpi, kinZZ`

Explanation:

If `tan(x) * sec(x)=0`
then
#color(white)("XXX") {: (tan(x)=0," or ",sec(x)=0), (rarr x" is a multiple of "pi,,"not true for any real value of "x) :}#

Here is a graph with `color(green)(tan(x))` and `color(red)(sec(x))` for verification: