Answer:
0.97
Step-by-step explanation:
It is known that the tangent of an angle is given by the quotient between its sine and its cosine.
[tex]tan(x)=\frac{sin(x)}{cos(x)} =\frac{1}{4} \\\frac{1}{4}cos(x)=sin(x)\\[/tex]
Applying the following property:
[tex]sin^2(x) +cos^2(x) = 1\\(\frac{1}{4}cos(x))^2 +cos^2(x) = 1\\\\\frac{17}{16}cos^2(x) = 1 \\cos(x)=0.97[/tex]
The cosine of that angle is 0.97.
