SOLUTION: Find sec &#952; if tan &#952; =1/4 and 180° < &#952; < 270°. Thank You

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Question 42646: Find sec θ if tan θ =1/4 and 180° < θ < 270°.
Thank You
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let q be theta...
We know that tan^2 q + 1 = sec^2 q so that
sec^2 q = 1 + (1/4)^2 = 1 + 1/16 = 17/16
sec q = sqrt(17) / 4
But in the 3rd quadrant sec q, like cos q, is negative, so
sec q = -sqrt(17) / 4