X follows uniform (0,2pi). find didstribution of cos(theta)
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By the Jacobian formula,
fY(y)=1|y|<1π1−y2−−−−−√.
fY(y)=1|y|<1π1−y2.
This is the so-called Arcsine distribution, which famously appears in probability theory and in number theory, as shown by two mathematical giants from the 20th century:
fY(y)=1|y|<1π1−y2−−−−−√.
fY(y)=1|y|<1π1−y2.
This is the so-called Arcsine distribution, which famously appears in probability theory and in number theory, as shown by two mathematical giants from the 20th century:
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