Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant.
tan(t), cos(t); Quadrant III
tan(t) =
1 Answer

In quadrant III, tan is positive and cos is negative.
tan^2(t) = sec^2(t) – 1 = 1/cos^2(t) – 1 = (1cos^2(t) ) / cos^2(t)
tan(t) = sqrt ( (1cos^2(t) / cos^2(t) )