period of ##sin((2pi)/5t) = 5##

frequency of ##sin((2pi)/5t) = 1/5##

##sin(theta)## has a period of ##2pi## relative to ##theta##

##rArr sin((2pi)/5t)## has a period of ##2pi## relative to ##(2pi)/5t##

##rArr Sin((2pi)/5t)## has a period of ##(2pi)/((2pi)/5) = 5## relative to ##t##

frequency is the reciprocal of period

period of ##sin((2pi)/5t) = 5##

frequency of ##sin((2pi)/5t) = 1/5##

##sin(theta)## has a period of ##2pi## relative to ##theta##

##rArr sin((2pi)/5t)## has a period of ##2pi## relative to ##(2pi)/5t##

##rArr Sin((2pi)/5t)## has a period of ##(2pi)/((2pi)/5) = 5## relative to ##t##

frequency is the reciprocal of period