Question

Use the image below to answer the following question:

Answer 1

Answer:  The ratios are both identical. (Choice A)

Why does this answer work?

Well let's refer to the diagram below.

Angle x has side 12 opposite it and the hypotenuse is 13.

This means sin(x) = opposite/hypotenuse = 12/13

Also, angle y has side 12 adjacent to it, meaning,

cos(y) = adjacent/hypotenuse = 12/13

Both trig ratios result in 12/13 and we can say sin(x) = cos(y)

One last thing to notice is that x+y = 90

In other words, if x+y = 90, then sin(x) = cos(y)

Phrased a slightly different way: if x+y = 90, then sin(y) = cos(x)