Answer:
cos theta = -4/5.
sec theta = -5/4.
tan theta = 3/4.
cot theta = 4/3.
Step-by-step explanation:
sin^2 theta + cos^2 theta = 1
(-3/5)^2 + cos^2 theta = 1
cos^2 theta = 1 - 9/25
cos^2 theta = 16/25
cos theta = -4/5 (negative because it is in Quadrant 3).
sec theta = 1 / cos theta = -5/4.
tan theta = sin theta / cos theta = -3/5 / - 4/5
= -3/5 * -5/4
= 3/4.
cot theta = 1 / tan theta = 4/3.