2 years ago

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

Mathematics

1 answer:

Shtirlitz [24]2 years ago

6 0

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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6 0

2 years ago

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

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