Question

How do you solve `4sinxtanx-cosxcotx=0`?

Answer 1

`4 sin x tan x - cos x cot x = 0`
`4 sin x sin x/cos x - cos x cos x/sin x = 0`
`4 sin^2 x/cos x - cos^2 x/sin x = 0`
`4 sin^2 x/cos x=cos^2 x/sin x`
`4 sin^3 x = cos^3 x`
`4 tan^3 x = 1`
`tan^3 x = 1/4`
`tan x = root(3)(1/4)`
`x = arctan root(3)(1/4)`

hmmm, anyone else wanna give it a shot?