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If tan x =8/15 and 0°<x<90°,find the value of cos x​
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5 votes
If tan x =8/15 and 0°<x<90°,find the value of cos x​

User Chris Feist
by
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1 Answer

4 votes

9514 1404 393

Answer:

15/17

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

User Sam Bellerose
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