SOLUTION: Find sec theta if tan theta=1/4 and 180Degrees< theta <270degrees. Thankyou!!

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Question 232058: Find sec theta if tan theta=1/4 and 180Degrees< theta <270degrees. Thankyou!!
Answer by chibisan(131) About Me  (Show Source):
You can put this solution on YOUR website!
let theta be A
so,
tanA = 1/4 , 180° A lies on the 3rd quadrant since 180°
tanA = opp/adj
{draw a diagram}
(dots are used for spacing.)
.. _4_
.. l.../
1 l../sqrt(17)
.. l/

the hyp will be sqrt(1^2+4^2) = sqrt17

secA = 1/cosA
secA = 1/adj/hyp
secA = hyp/adj
secA = sqrt(17)/4 {ans}