Answer:



Explanation:
If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).
Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

Therefore:

To find cos G, use the cosine trigonometric ratio:

For angle G, the adjacent side is FG and the hypotenuse is EG.
Therefore:


To find csc E, use the cosecant trigonometric ratio:

For angle E, the hypotenuse is EG and the opposite side is FG.
Therefore:


To find cot G, use the cotangent trigonometric ratio:

For angle G, the adjacent side is FG and the opposite side is EF.
Therefore:
