Question

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share?
A right triangle is shown with one leg measuring 12 and another leg measuring 5.
The angle across from the leg measuring 5 is marked x degrees, and the angle across from the leg measuring 12 is marked y degrees.

Answer 1

Answer:

sin x = cos y

Step-by-step explanation:

sin theta = opp / hyp

cos theta = adj / hyp

First find the hyp

a^2 + b^2 = c^2 from the Pythagorean theorem

5^2+12^2 = hyp^2

25+144= hyp^2

169= hyp^2

Taking the square root of each side

sqrt(169) =sqrt(hyp^2)

13= hyp

sin x = opp / hyp=5/13

sin y = 12/13

cos x = 12/13

cos y = 5/13

sin x = cos y