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cos y = r/q

Step-by-step explanation:

Sine is opposite divided by hypotenuse. Here, since sin y = 7/q, we can say that the opposite side length is 7 and the hypotenuse side length is q.

Tangent is opposite divided by adjacent. Here, since tan y = 7/r, we can say that the opposite side is 7 (just like above with sine) and the adjacent side is r.

Now, we have a triangle with its two legs labelled 7 and r and its hypotenuse labelled q.

Cosine is adjacent over hypotenuse. Because the adjacent side has a length of r and the hypotenuse has length q, we know that cos y must be r/q.

Hope this helps!