solve the equation 2 sec x- tan x = cot x for the interval 0 to 360 please:)

Answer 1

(2 - sinx)/cosx = cot x = cosx/sinx
Multiply both sides by sinx cosx
2 sinx - sin^2x = cos^2 x = 1 - sin^2x
2 sinx = 1
x = 30 degrees or 150 degrees