Answer:
Option c
Step-by-step explanation:
We assume that the angle is in the first quadrant.
Observe the attached image.
if [tex]u = cos ^{-1}(\frac{3}{5})[/tex]
So:
[tex]cosu = \frac{3}{5}[/tex]
By definition:
[tex]cosu= \frac{adjacent}{hypotenuse}[/tex]
So:
adjacent side = 3
hypotenuse = 5.
Observe the attached image
We find the opposite side "x" using the Pythagorean theorem.
[tex]x=\sqrt{5^2 -3^2} \\x = 4[/tex]
Then, for the angle u:
[tex]tanu = \frac{opposite}{adjacent}\\\\tanu = \frac{x}{3}\\\\tanu = \frac{4}{3}[/tex]
