Answer:
Sin(t) = [tex]\frac{\sqrt{3} }{2} }[/tex] and [tex]sec(t) =2[/tex]
Step-by-step explanation:
The secant function is the reciprocal function of the cosine function. Therefore, given that [tex]sec(t) = \frac{1}{cos(t)}[/tex] then, if [tex]cos(t) = \frac{1}{2}[/tex] then [tex]sec(t) =2[/tex].
On the other hand, if cos (t) = 1/2 ⇒ t = ±[tex]\frac{\pi}{3}[/tex]
Then, the sin([tex]\frac{\pi}{3}[/tex]) = [tex]\frac{\sqrt{3} }{2} }[/tex]
