Question

20. The value of sec x if x lies in the 4th quadrant and
(1 Point)
tan x = -1/3

Answer 1

Answer:

Step-by-step explanation:

We have that x is an angle in standard position with point A(-3 , 4) on the terminal side.

sec x = 1/ cos x

cos x = adjacent side / hypotenuse.

Here the adjacent side is -3 and the hypotenuse is sqrt ((-3^2) + 4^2) = sqrt ( 9 + 16) = sqrt 25 = 5.

The value of cos x = -3/5

Therefore the required value of sec x is -5/3