How do you solve 5SecX plus 3CosecX equals 0 with a Range 0 To 360 Degrees?

Well, let's see.

secant = 1/cosine

cosecant = 1/sine

5/cosine + 3/sine = 0

Multiply both sides of the equation by sine :

5 sin/cos + 3 = 0

But sin/cos = tangent .

5 tan(x) + 3 = 0

5 tan(x) = -3

tan(x) = -0.6

'x' is the angle whose tangent is -0.6 .