Cognition is supposed to be the logical, thinking, calculating, information processing part of our mind. It is often thought to be separate from the rest of our mind such as emotions, and sub-conscious drives. However, this is inaccurate emotions and the subconscious can and do affect cognitive functions and cognitive functions can and do affect emotions.
The best example of emotions affecting cognition is the fight or flight response. Intense fear causes a whole host of physiological changes which affect both our body and our mind. In the mind cognitive processing speeds up allowing us to notice more and react faster. Since the part of the mind which is produces consciousness (the 'I') also speeds up we feel as though time has slowed down. Memories formed during such periods are typically more detailed and recalled more easily and strongly than memories formed at other time. I case in point is the phenomenon of "everyone remembers where they were when they heard the twin towers had fallen". Another example is post-traumatic-stress disorder (PTSD) which can leave noticeable differences in the structure and function of the brain after the highly emotional event. PTSD has also been demonstrated to affect cognition such that faces which non-affected people identify as neutral will be processed and perceived as hostile in PTSD patients.
Cognitive functioning affects emotions as well. Simply seeing the colour green improves people's mood. Being able to see vegetation out of a window in a hospital improves outcomes. Other colours have other emotional effects: blue is sedative, red is arousing. Sounds produce emotions as well. English speakers often find German sounds angry even when the German speaker is expressing romantic feelings. Curse words tend to contain hard or harsh sounding letters such as 'k', 'r', 'p', and hard 'c' because they sound angry. Furthermore psychological experiments on 'priming' have simply reading a mathematical question written in a difficult to read font can improve participants' answers.
Similarly, physical movement is linked to emotions as well. Simply forcing your body to smile or laugh will cause you to become happy. Standing in a posture associated with power and confidence will make you feel more powerful and confident. Double-blinded experiments have shown job interviewees who stand in a powerful posture for two minutes prior to the interview perform better and a perceived to be more competent during the interview.
Thus cognition is inseparable from emotions. So emotions cannot be considered non-cognitive phenomena.
