Question

How do I solve `3 sin x+2 tan x=0` for `0°<x<360°` ?

Answer 1

`sin x [ 3 + 2 sec x]` = `0` `=>` `sin x` = `0` or `sec x = - 3 /2` `=>`
`x` = `180°` or `x` = `sec^-1 (- 3/2)`

Explanation:

The angle `sec ^-1` `(- 3/2)` can be got from four figure tables.