Question

How do you find the general solutions for `sqrt3 cscx-2=0`?

Answer 1

Solve: `sqrt3csc x - 2 = 0`

Explanation:

`sqrt3/sin x - 2 = 0`
`sqrt3 - 2sin x = 0` (Condition: sin x not zero, x not o or `pi`)
`sin x = sqrt3/2`.
Trig table gives --> `x = pi/3` and `x = (2pi)/3`

General solutions:
`x = pi/3 + 2kpi`
`x = (2pi)/3 + 2kpi`