Question

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

Answer 1

Sin(t) =
`(√(3) )/(2) }` and
`sec(t) =2`

Explanation:

The secant function is the reciprocal function of the cosine function. Therefore, given that
`sec(t) = (1)/(cos(t))` then, if
`cos(t) = (1)/(2)` then
`sec(t) =2`.

On the other hand, if cos (t) = 1/2 ⇒ t = ±
`(\pi)/(3)`

Then, the sin(
`(\pi)/(3)`) =
`(√(3) )/(2) }`