SOLUTION: Find the sec ɵ and tan ɵ if sin ɵ =1/5 and ɵ is in the 1st quadrant

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Question 750206: Find the sec ɵ and tan ɵ if sin ɵ =1/5 and ɵ is in the 1st quadrant
Answer by Alan3354(69443) About Me  (Show Source):
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Find the sec ɵ and tan ɵ if sin ɵ =1/5 and ɵ is in the 1st quadrant
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cos = sqrt(1 - sin^2) = sqrt(24/25) = sqrt(24)/5
sec = 1/cos = 1/sqrt(24)/5 = 5/sqrt(24)
sec = 5*sqrt(24)/24
sec = 5*sqrt(6)/12
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tan = sin/cos = sin*sec
tan = sqrt(6)/12