Suppose #tantheta=1/4# and theta is in the third quadrant, what are the 5 other trig function values of theta?

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Suppose #tantheta=1/4# and theta is in the third quadrant, what are the 5 other trig function values of theta?

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Answer 1 · 2018-05-24T16:06:17

#tan t = 1/4#. t lies in Quadrant 3.
#cos^2 t = 1/(1 + tan^2 t) = 1/(1 +1/16) = 16/17#
#cos t = - 4/sqrt17# (because t is in Quadrant 3)
#sin^2 t = 1 - cos^2 t = 1 - 16/17 = 1/17#
#sin t = - 1/sqrt17# (because t lies in Q. 3)
#tan t = 1/4#
#cot t = 4#
#sec t = 1/cos = - sqrt17/4#
#csc t = - sqrt 17#

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Suppose #tantheta=1/4# and theta is in the third quadrant, what are the 5 other trig function values of theta?

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