1. Let's say we want to compute cot(0.0015) interpolating for cot(x), b) by interpolating for cos(x) and sin(z) and using them to calculate cot(x). Also, estimate the error in b) and explain the difference in a) and b). Here is the table: possible using the following table by a) as accurately as sin r cot x COS x 1000.0 0.001 0.001000 1.000000 0.002 499.999 0.002000 0.999998 0.003 0.003000 0.999996 333.332 0.004 0.004000 0.999992 249.999 0.005000 0.005 0.999988 199.998