Pluto's distance from the sun varies in a periodic way that can be modeled
approximately by a trigonometric function.
Pluto's maximum distance from the sun (aphelion) is 7.4 billion kilometers.
Its minimum distance from the sun (perihelion) is 4.4 billion kilometers.
Pluto last reached its perihelion in the year 1989, and will next reach its
perihelion in 2237.
Find the formula of the trigonometric function that models Pluto's
distance D from the sun (in billion km) t years after 2000. Define the
function using radians.
D(t) =
How far will Pluto be from the sun in 2022? Round your answer, if
necessary, to two decimal places.
billion km