A bull market and a bear market are two opposite phases of the crypto market cycle. A bull market is when the prices are rising, the sentiment is optimistic, and the demand is high. A bear market is when the prices are falling, the sentiment is pessimistic, and the supply is high. 
The terms bull and bear come from the way these animals attack their opponents. A bull thrusts its horns up into the air, while a bear swipes its paws down. These actions are metaphors for the movement of a market. If the trend is up, it's a bull market. If the trend is down, it's a bear market. A bull market is a period of rising prices, while a bear market is a period of falling prices.
There are different ways to analyze the crypto market cycles and identify the trends, such as:
Technical analysis: This is the use of charts, indicators, patterns, and other tools to study the price movements and predict future trends. Some common technical indicators are moving averages, trend lines, support and resistance levels, Fibonacci retracements, and oscillators.
Fundamental analysis: This is the evaluation of the intrinsic value of a cryptocurrency based on its underlying technology, innovation, adoption, regulation, and other factors. Some common fundamental indicators are network activity, hash rate, transaction volume, active addresses, developer activity, and sentiment analysis.
Market structure analysis: This is the analysis of the distribution and behavior of different market participants, such as buyers, sellers, whales, institutions, retail investors, etc. Some tools for market structure analysis are market profile, point of control (POC), volume profile, order book depth, and liquidity.
By combining these methods of analysis, a crypto trader can gain a better understanding of the market dynamics and make informed decisions based on the evidence.
However, it is important to note that no analysis is perfect or guarantees success. The crypto market is volatile and unpredictable, and there are many factors that can influence the price movements. Therefore, a crypto trader should always be cautious and use risk management techniques to protect their capital.