Question

Help me find the peirod

Answer 1

Check the picture below.

so by using that template on that picture, let's rewrite the function some and get the period.

`y=\stackrel{A}{1}\cos\stackrel{ B ~\qquad ~ C }{\left((8\pi )/(5)x+(5\pi )/(2) \right)}+\stackrel{D}{0} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{the period is}}{\cfrac{2\pi }{B}}\implies \cfrac{2\pi }{~~ ( 8\pi )/( 5 ) ~~}\implies \cfrac{2\pi }{1}\cdot \cfrac{5}{8\pi }\implies \cfrac{5}{4}`