Question

How do you solve the equation `3csc^2x=4`?

Answer 1

see below

Explanation:

`3 csc^2 x = 4`

`3/sin^2 x=4`

`3=4sin^2 x`

`3/4 = sin^2 x`

`+- sqrt 3/2 = sinx`

`x=sin^-1 (+- sqrt 3/2)`

`x=+- pi/3+2pin, +-(2pi)/3 +2pin`

`S={+- pi/3+2pin, +-(2pi)/3 +2pin}`