Final answer:
To solve the expression sec(v)sec(u)+csc(v)csc(u), find the values of sec(v), sec(u), csc(v), and csc(u) using the given information. Substitute these values into the expression and simplify.
Step-by-step explanation:
To solve the expression sec(v)sec(u)+csc(v)csc(u), we first need to find the values of sec(v), sec(u), csc(v), and csc(u) using the given information.
Given that sin(u) = -8/17 and cos(v) = -7/15, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find cos(u) and sin(v).
After finding the values of sec(v), sec(u), csc(v), and csc(u), we can substitute these values into the expression and simplify to get the final answer.