SOLUTION: Find the exact value of sin x and cos x for the acute angle x such that tan x= 4/5

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Question 351417: Find the exact value of sin x and cos x for the acute angle x such that tan x= 4/5
Answer by jjordan95(63) About Me  (Show Source):
You can put this solution on YOUR website!
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SOHCAHTOA
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tan%28x%29=%28opposite%2Fadjacent%29
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If you recall the unit circle, you know that the sin of something is essentially the 'y' component. The 'y' component is basically the opposite side.
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If you recall the unit circle again, you know that the cos of something is essentially the 'x' component. The 'x' component is basically the adjacent side.
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Therefore, if tan%28x%29=%28opposite%2Fadjacent%29, then tan%28x%29=%28sin%28x%29%2Fcos%28x%29%29
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Since you have the tangent, 4%2F5, you can easily see that sin%28x%29=4 and cos%28x%29=5