ankomahbaidooike
ankomahbaidooike ankomahbaidooike
  • 24-03-2021
  • Mathematics
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if tan x =8/15 and 0°<x<90°,find the value of cos x​

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sqdancefan
sqdancefan sqdancefan
  • 24-03-2021

9514 1404 393

Answer:

  15/17

Step-by-step explanation:

cos(arctan(8/15)) = 15/17

__

You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...

  h = √(8² +15²) = √289 = 17

The cosine is the ratio of the adjacent side to the hypotenuse, so is ...

  cos(x) = 15/17

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