Final answer:
To find the value of sin(θ₁), we can use the Pythagorean identity sin^2θ + cos^2θ = 1.
Step-by-step explanation:
The angle [θ₁] is located in quadrant [ii], and [cos(θ₁)=-12/19]. In quadrant II, the cosine function is negative. We can use the Pythagorean identity sin2θ + cos2θ = 1 to find the value of sin(θ₁). Since cos(θ₁) = -12/19, we can substitute this value into the identity to get sin2θ₁ + (-12/19)2 = 1. Solving for sin(θ₁), we find:
sin(θ₁) = √(1 - (-12/19)2)