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?
ss below

Answer 1

i dont no

Answer 2

Alright, so to figure this one out, we need to find cos y and sin x,
first, we need to do the Pythagorean theorem to find the hypotenuse,
\(c^2=8^2+6^2\) simplify
\(c^2=64+36\) add together
\(c^2=100\) square it
\(c=10\)

now, let's look at the list of sine cosine and tangent:
\(SOH~CAH~TOA\)

and so that would be:
\(sin^\text{-1}(\dfrac{6}{10})=x^\circ\) = 36.9
and
\(cos^\text{-1}(\dfrac{6}{10})=y^\circ\) = 53.1

now you can compare how these 2 are similar to one another.