Question Number 169736 by mathocean1 last updated on 07/May/22
![Given a ∈ [((3π)/2);2π]. Determinate a values for which the sequence u_n =cos(a)(sin(a))^n is constant from a certain value of n.](https://www.tinkutara.com/question/Q169736.png)
$${Given}\:{a}\:\in\:\left[\frac{\mathrm{3}\pi}{\mathrm{2}};\mathrm{2}\pi\right]. \\ $$$${Determinate}\:{a}\:{values}\:{for}\:{which} \\ $$$${the}\:{sequence}\:{u}_{{n}} ={cos}\left({a}\right)\left({sin}\left({a}\right)\right)^{{n}} \:{is} \\ $$$${constant}\:{from}\:{a}\:{certain}\:{value}\:{of}\:{n}. \\ $$