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?
This is right triangle. Let's calculate the hypotenuse through Pythagoras: (PO)² = 4² +3² →PO = 5 (1) sin(x°) = opposite side/hypotenuse = 3/5 (2) cos(y°) = adjacent side/hypotenuse = 3/5 They share te same ratio. Why? We know that : x° + y° = 90 or y° = 90° - x° Plug the value of y° in (2) cos(90°-x°) = 3/5. therefore: sin(x°) = cos(90°-x°)