SOLUTION: Hi, please help me solve this problem: Suppose sec alpha = 7/2 and alpha is in quadrant Ii. Find the exact value of tan alpha by using fundamental relationships. Thanks!

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Question 398190: Hi, please help me solve this problem:
Suppose sec alpha = 7/2 and alpha is in quadrant Ii. Find the exact value of tan alpha by using fundamental relationships.
Thanks!

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
sec θ = (1/cosθ ) = 7/2
cosθ = 2/7 = adj/hyp
sqrt( 7^2 - 2^2) = sqrt(45) = opp
sinθ = sqrt(45)/7
tanθ = sinθ/cosθ =
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