2. In future math classes, you will be asked to approximate a given function by a sum of sine waves. E.g., You may want to approximate the function f(x) = r with the sine waves sin(x), sin(2x) and sin(3.r). In other words, you would carefully choose coefficients a1, a2, and as such that f(x) = x ~ a, sin(x) + 2 sin(2) + a3 sin(x). Here is the graph of the function f(x) = r and its approximation: 2 - 2 2 -2- Find the values of a1, a2 and a3. Hint: To find a1, start with a ~ a, sin(x) + 42 sin(2x) + as sin(3x), multiply both sides of the equation by sin(x), then apply a definite integral to both sides of the equation so that the previous problem applies