Answer:
[tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Firstly, we can create a right triangle with angle a,
This triangle has a hypotenuse of 5 and an adjacent side of 4.
Using the Pythagorean theorem, we can find that the opposite side is 3
Now that we have the opposite side, we can find the value of tan(a), which is the opposite side over the adjacent side, or [tex]\frac{3}{4}[/tex]
Once we substitute in our value for tan(a), we can simplify in order to find the value of our equation
[tex]\frac{1-tan(a)}{1+tan(a)} \\\\\frac{1-\frac{3}{4} }{1+\frac{3}{4} } \\\\\frac{\frac{1}{4} }{\frac{7}{4} } \\\\\frac{1}{4} *\frac{4}{7} =\frac{1}{7}[/tex]
