Question

Given cos t = 1/2 tan 0 find sin (t) and sec (t)

Answer 1

Answer:

Sin(t) =  $\frac{\sqrt{3} }{2} }$ and $sec(t) =2$

Step-by-step explanation:

The secant function is the reciprocal function of the cosine function. Therefore, given that $sec(t) = \frac{1}{cos(t)}$ then, if  $cos(t) = \frac{1}{2}$ then  $sec(t) =2$.

On the other hand, if cos (t) = 1/2 ⇒ t = ±$\frac{\pi}{3}$

Then, the sin($\frac{\pi}{3}$) = $\frac{\sqrt{3} }{2} }$