ANSWER
[tex] \boxed {false }[/tex]
EXPLANATION
The given trigonometric equation is
[tex] \cos(t) = \frac{5}{3} [/tex]
The range of the cosine function
[tex]f(t) = \cos(t) [/tex]
is
[tex] - 1 \leqslant t \leqslant 1[/tex]
But,
[tex]\cos(t)= \frac{5}{3} > 1[/tex]
Therefore there is no value of t that will make
[tex] \cos(t) = \frac{5}{3} [/tex]
hold.
The correct answer is False
