H/f
g/f
f/g
g/h
in the triangle

g/f

Step-by-step explanation:

Cosine is adjacent over hypotenuse.  The side adjacent to H is g.  The hypotenuse is f.  Therefore:

cos H = g / f

For this case we have by definition of trigonometric relations of rectangular triangles that, the cosine of an angle is equal to the leg adjacent to the angle on the hypotenuse of the triangle.

Then, according to the given figure we have:

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step-by-step explanation: