Suppose v is in the interval (0, pi/2) with tan v = 5 Find cos v.

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ythreereb3

Mathematics

Question Description

Suppose  v is in the interval (0, pi/2) with tan v = 5 Find cos v.

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Explanation & Answer

tan^2v=25 

sec^2v-1=25 

 sec^2v=26  

cos^2v=1/26 

 cosv=-1/sqrt26 

sinv=cosv * tanv = (-1/sqrt26) * (-5)= 5/sqrt26

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xunxnna (1456)
Cornell University

Anonymous
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