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!

Algebra ->  Trigonometry-basics -> 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!      Log On


   

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) About Me  (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 = %28sqrt%2845%29%2F7%29%2F%282%2F7%29+=+sqrt%2845%29%2F2