When solving equations for angles between [0, 360] (measured in degrees), remember which quadrants sin and cos are positive and which quadrants they are negative.
First quadrant : sin +
Second quadrant: sin +
Third quadrant: sin -
Fourth quadrant: sin-
Remember when solving equations involving sec and csc, that sec = 1/cos and csc = 1/sin. Easiest to change back to sin and cos and then finding the angle.