Question

An acute angle θ is in a right triangle with cos θ = five sixths. What is the value of sec θ?

Answer 1

`(6)/(5)`

Explanation:

Given :
`Cos \theta = (5)/(6)`

To Find :
`Sec \theta`

Solution:

Property :
`sec\theta = (1)/(cos\theta)`

So,
`Cos \theta = (5)/(6)`

So, Using property

`sec\theta = (1)/((5)/(6))`

`sec\theta = (6)/(5)`

Hence the value of sec θ is
`(6)/(5)`

Answer 2

since secθ = 1/cosθ

then secθ of cos(5/6) would be 1 / 5/6 = 6/5