Right △EFG has its right angle at F, EG=6, and FG=4.

What is the value of the trigonometric ratio of an angle of the triangle?

Drag a value to each box to match the trigonometric ratio with its value.
cscE
cosG
cotG

Please find the attachment.

We have been given that △EFG has a right angle at F, EG=6, and FG=4. We are asked to find trigonometric ratio for given angles of the triangle.

First of all, we will draw a right triangle using our given information.

Now we will find length of side EF using Pythagoras theorem.  

We know that cosecant relates hypotenuse with opposite side of right triangle.

We can see that opposite side to angle E is FG and hypotenuse is EG.

We know that cosine relates adjacent side with hypotenuse.

We can see that adjacent side to angle G is FG and hypotenuse is EG.

We know that cotangent relates adjacent side with opposite side of right triangle.

We can see that adjacent side to angle G is FG and opposite side is EG.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice