What Emotional Intelligence techniques can you use to persuade others to take risks and try new things?

This is a very important point you make. Appealing to someone's values and what someone's value will increase their motivation to try something even if the activities are new because when it aligns with what they value, they'll be more likely to challenge themselves.

I suggest one completely different approach to make someone realize their emotionality. Instead of empathizing with them, consciously and being in control of yourself, demonstrate precisely the opposite emotion towards him/her. Continue with this experiment until he/she, at one point, will ask you: "Why are you doing this to me?" or "How come you are so insensitive?". At this point, hold his/her hand, make him/her sit beside you and explain what unproductive behaviour/demonstration of emotion you are witnessing in him/her. Be patient and repeat his/her words and mirror them. They will get a breakthrough.

Empathizing with others' emotions is the fundamental way for them to take risks and try new things. Everyone wants to know they are seen and heard, whether they say it or not. Therefore, showing empathy towards others gives them a sense of security that builds the trust mechanism necessary to persuade them to risky behavior. When people feel as though you understand their needs and wants and care about those needs and wants, they are more prone to allowing you to influence them and their decisions. Emotional intelligence is the ability to adjudicate personal feelings and emotions with those of others appropriately. Showing empathy illustrates the ability to ingest and dispense emotions to affect change properly.

Walk the talk is a valuable persuader. People are always watching, and if you want to inspire others to take action, you want to model it. There are people around you with desires and dreams and will only take action when they see others taking action. Be the example and watch the impact you make because you'll help to bring out the best in others.

If the people around you, say you're a leader and your team members shows an interest in a particular area that can add value to what you want to accomplish or may not be of interest, but can add value to the overall success of the organization, you want to create ways for that to happen and that in itself will give the individual or individuals the confidence to try ways or source ways to achieve the success that will make a positive difference.