Question

What relationship do the ratios of sin x and cos y share? the ratios are opposites?

Answer 1

The sine of the measure of an angle in a right triangle, is the ratio of the opposite side of that angle, to the hypotenuse.

The cosine of the measure of an angle in a right triangle, is the ratio of the adjacent side of that angle, to the hypotenuse.


According to these, we have:

$\displaystyle{ \sin(x^{\circ})= \frac{6}{10}$

and


$\displaystyle{ \sin(y^{\circ})= \frac{6}{10}$.


Thus, the ratios of both are identical $( \frac{6}{10} \ and \ \frac{6}{10} )$