Math Team

cos(36) - cos(72) = 0.40347889260888592

The scetch of how to deal with this problem is the following: 1. Set the desired accuracy [\math] \epsilon [math] and the confidence level P. 2. Calculate the SD of Your estimator after N experiments. 3. Then You should find such N(the number of experiments) that the following inequality is satisfied: P(|real value - estimated value in N exp.|>eps) < P For this You should either use the information about the law of distribution or use some general estimates(like Chebyshevs theorem). If this scetch was unclear, fill free to write me PM.

The hint to solution is the following: Substitute y from both sides of the equation, devide everything by x*y and look carefully on the left hand side of this equation.