To find the value of cos(t), given that sin(t) = -12/15 = -4/5 and P = 3, we need to determine the value of t.
Given that sin(t) = -4/5, we can use the identity cos^2(t) + sin^2(t) = 1 to find cos(t). Plugging in the values: cos^2(t) + (-4/5)^2 = 1 cos^2(t) + 16/25 = 1 cos^2(t) = 1 - 16/25 cos^2(t) = 25/25 - 16/25 cos^2(t) = 9/25
Since cos(t) is positive, we take the positive square root: cos(t) = √(9/25) cos(t) = 3/5
Therefore, cos(t) is 3/5.
