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? (10 points)

Answer 1

This is a right-angled triangle, so the hypotenuse, call it 'h' is related to the lengths of the other two sides by the equation,\[12^{2} + 5^{2} = h ^{2}\]

Therefore \[h = 13\]

Then \[\sin x ^{0} = \frac{ 5 }{ 13 }\]
and \[\cos y ^{0} = \frac{ 5 }{ 13 }\]

They're the same (as they must be in every right triangle).