Question

Given that tan(x)= -4/7, and 270 degrees< x< 360 degrees, what is the exact value of sec(x)

Answer 1

sec(x) = 1.15

Explanation:

We can figure out what x is by using the arctan(x) function:

`x = arctan(-(4)/(7)) = -29.74`

So, now let's figure out the cos(x) as sec(x) is equal to the reciprocal of cos(x):

`cos(-29.74) = 0.87`

Let's take the reciprocal:

`sec(x) = (1)/(cos(-29.74)) = 1.15`

And that's your answer.