Answer:
sin(θ) = -15/17
tan(θ) = 15/8
Step-by-step explanation:
it is known that cos²(θ) + sin²(θ) = 1
cos(θ) = -8/17
cos²(θ) = 64/289
sin²(θ) = (289-64)/289
sin²(θ) = 225/289
sin(θ) = ±15/17
since sin(θ) is negative, sin(θ) = -15/17
we also know that tan(θ) = sin(θ)/cos(θ)
tan(θ) = (-15/17)/(-8/17) = (-15/17 * 17) / -8 = 15/8
