Use a sum or difference formula to find the exact value of the following. sin(pi )/(4)cos(pi )/(12)-cos(pi )/(4)sin(pi )/(12)

To find the exact value of the given expression, we can use the sine difference formula: In this case, we have: Comparing this with the sine difference formula, we can see that: and Substituting these values into the sine difference formula, we get: Simplifying the expression inside the sine function: We know that .Therefore, the exact value of the given expression is .