sin^2(x+5π/12)-sin^2(x-5π/12)=-√3/4{sin(x+5π/12)+sin(x-5π/12)}{sin(x+5π/12)-sin(x-5π/12)}=-√3/42sin[(x+5π/12+x-5π/12)/2]cos[(x+5π/12-x+5π/12)/2]*2cos[(x+5π/12+x-5π/12)/...