there are values of t so that the equation cost=5/3 holds
true or false

Answer:
False
Step-by-step explanation:
The given equation is
[tex]\cos(t)=\frac{5}{3}[/tex]
The range of values of the cosine function lies between [tex]-1\leq \cos(t) \leq 1[/tex]
But the given value is [tex]\frac{5}{3}=1\frac{2}{3}[/tex]. This does not belong to the given range.
Therefore there is no value of [tex]t[/tex] so that [tex]\cos(t)=\frac{5}{3}[/tex]
holds.