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

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

Sep 24th, 2014

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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Sep 24th, 2014

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