Importance of system prompts ?

A system prompt is basically set of instructions, rules its kind of context we provide to the AI model like a 1st message it acts as how we provide context to it for example persona

There are different types of prompting
1) Zero-Shot Prompting: The Direct Approach :
so this is a most common format we simply ask the model to perfrom a task without giving any prior example, i mean just intructions this we use mostly for straightforward task the model already understand

2) Few-Shot Prompting: Learning by Example :
In this type of prompting we give several examples before actual task for example if we want to make an translator then we have to give task like english ‘go’ → Hindi ‘jaao’ and english ‘How are you’ → hindi “aap kaise hai ?’ kind of like that so the it understand the context well and this type of prompting we use when we want high controll over style and structure

3) Chain-of-Thought (CoT) Prompting: Showing Your Work :
So this is very important type COT, which basically ask the AI to break task step-by step before giving final answer its same like DeepThinking now days most of the Ai model have a feature of DeepThink so you can related this with that, here also we have difine context give lots of examples so that it perform well in problem solving and logical task. most benifite of this type is basically it keep cosistancy and much more accurate as compair to others

4) One-Shot Prompting :
Its just an another type where we give one example before actual task same like few short but here only one example for small context around the assistant

5) Role-Prompting :
This type is basically use to add a persona/role to an Ai for exmple your are a hight level coding expert which have strong understanding of javascript like that we can also set the tone, how he should interact and domain specific task it keeps style and response consistant

Why Prompt Design Matters ?
i think there are few reasons
1) irrelevant responses
2) inconsistent tone
3) confusion
4) It improve user satisfaction
5) good results == lower cost