Answer:
cos(x) = square root 2 over 2; tan(x) = 1
Step-by-step explanation:
[tex]\frac{\sqrt{2} }{2}[/tex]
was, before it was rationalized,
[tex]\frac{1}{\sqrt{2} }[/tex]
Therefore,
[tex]sin(x)=\frac{1}{\sqrt{2} }[/tex]
The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,
[tex]cos(x)=\frac{1}{\sqrt{2} }=\frac{\sqrt{2} }{2}[/tex] and
since tangent is side opposite (1) over side adjacent (1),
tan(x) = 1
