I cannot think of anyone that does not need encouragement at one point or another in their life. Even some of our family members and relatives do find themselves between a rock and a hard place once in a while. If you are looking for words of encouragement for a cousin or some other family member then you are in the right place. Read through some of the things you can say to them to uplift them.
Since this someone that you are related to then you should have no problems approaching them. In any case you need to choose your timing and approach with some thought. Even the best words of encouragement for a cousin can have little effect when uttered at the wrong time.
One thing that I always emphasize is the need for sincerity. No matter how great some words are if they are not heartfelt then they will miss their mark. For a guideline on some of the things you can read through the material that is at writeexpress.com.
The first thing you need to understand what is troubling your relative. You can then offer them words of encouragement based on whatever it is they are facing. It is not every time that you need to say something philosophical and overwhelming. Sometimes words of encouragement for a cousin can be as simple as having a warm conversation and listening to what they have to say.
Whatever your cousin is facing you can assure them that you are there for them. They need to know that they are not alone at this time. Some of these things you already know yourself. Even if they sound clichéd there is no more appropriate time to say them than when someone is going through stuff.