Answer:
cos θ = -4/5
sec θ = -5/4
tan θ = 3/4
Step-by-step explanation:
sin²θ + cos²θ = 1
(-3/5)² + cos²θ = 1
9/25 + cos²θ = 1
cos²θ = 16/25
cos θ = ±4/5
Since θ is in quadrant III, cos θ < 0. So cos θ = -4/5.
sec θ = 1 / cos θ
sec θ = -5/4
tan θ = sin θ / cos θ
tan θ = (-3/5) / (-4/5)
tan θ = (-3/5) (-5/4)
tan θ = 3/4
