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?
Question:
Use the image below to answer the following question.
Find the value of {eq}sin x {/eq} and {eq}cos y {/eq}. What relationship do the ratios of {eq}sin x {/eq} and {eq}cos y {/eq} share?
Answers (1)
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Answers (1)
LillieApril 2, 2023 в 07:17
Based on the image provided, it appears that we are dealing with a right triangle with sides of length 10, 24, and 26. Using the definitions of sine and cosine for a right triangle, we can find the values of sin(x) and cos(y):
sin(x) = opposite/hypotenuse = 24/26 = 12/13
cos(y) = adjacent/hypotenuse = 10/26 = 5/13
The relationship between sin(x) and cos(y) is that they are complementary ratios, meaning that their sum equals 1. This can be seen by calculating sin(x) + cos(y):
sin(x) + cos(y) = 12/13 + 5/13 = 17/13
Since 17/13 is greater than 1, we need to divide both sides by 17/13 to get:
sin(x) + cos(y) / 17/13 = 1
Therefore, sin(x) and cos(y) are complementary ratios that sum to 1.
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