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Paraphin [41]
2 years ago
11

Use △XYZ, in which ∠X is a right angle and tanY=815.

Mathematics
1 answer:
Neporo4naja [7]2 years ago
8 0

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

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