Question

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

Answer 1

Answer:

sec(x) = 1.15

Step-by-step explanation:

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

$x = arctan(-\frac{4}{7}) = -29.74$

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:

$sec(x) = \frac{1}{cos(-29.74)} = 1.15$

And that's your answer.