Answer:
sin θ/2 = ± √2/13
Step-by-step explanation:
tan θ = - 12/5 (in quadrant 4) sin θ = - 12/13 and cos θ = 5/13
sin θ/2 = ± (√1 - cos θ) / 2 = ± (√1 - 5/13) / 2 = ± √8/13 / 2 = ± √2/13
tan θ/2 = (1 - cos θ) / sin θ = sin θ / (1 + cos θ)
Let you to calculate the tan θ/2 part by yourself