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find cos theta if csc theta = 5/3

 Feb 23, 2016
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\(csc=\frac{hyp.}{oposite}=\frac{5}{3} \\ cos=\frac{adj.}{hyp.} \)

 

so we know hyp=5 and oposite=3 let s use pythagorean theorem to find adj :

3^2+x^2=5^2

x=4  

 

so your adj is 4 and hyp is 5

\(cos=\frac{adj.}{hyp.}=\frac45\)

 Feb 23, 2016

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