It's trigo time #7

Geometry Level 2

$\large \frac {\cos x^\circ(1+\tan^2 x^\circ)}{\csc x^\circ} =1$

In the domain $[ 0, 360 ]$ , what are the solutions of $x$ ?

This is a part of the set: It's trigo time

15 or 75 20 or 80 30 or 60 225 or 45 90 or 270 335 or 125