SOLUTION: Determine exact values. Find sin A and cos A if tan A=5/3 and cos A <0.

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Question 180061: Determine exact values.
Find sin A and cos A if tan A=5/3 and cos A <0.
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be an angle, sin A=a/c, cos A=b/c, tan=a/b. Where
a=opposite side
b=adjacent side
c=hypotenuse
a, b, and c form a right triangle and therefore must satisfy,
a%5E2%2Bb%5E2=c%5E2
if tan A=5/3, let a=5, b=3
c%5E2=5%5E2%2B3%5E2=25%2B9=34
c=sqrt%2834%29
sin A=5%2Fsqrt%2834%29=%285sqrt%2834%29%29%2F34
cos A=3%2Fsqrt%2834%29=%283sqrt%2834%29%29%2F34
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