Find the distribution of R = Asin , where A isa fixed

Chapter 5, Problem 5.41

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Find the distribution of R = Asin , where A isa fixed constant and is uniformly distributed on(/2, /2). Such a random variable R arises inthe theory of ballistics. If a projectile is fired fromthe origin at an angle from the earth with a speed, then the point R at which it returns to the earthcan be expressed as R = (v2/g) sin 2, where g isthe gravitational constant, equal to 980 centimetersper second squared.

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