Question: Find the distribution function and density function of Y = sinX, where X is distributed uniformly between 0 and 2. Please clearly show all steps

Find the distribution function and density function of Y = sinX, where X is distributed uniformly between 0 and 2. Please clearly show all steps and give the answer in terms of arcsin y. Thanks

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3. What is my goal?

2. I try to be as logical as possible

1. To understand the prerequisites for personal communication mastery.