Mathematics
ozziefish13
26

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?

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(1) Answers
Jeuhrich

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°)

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