Y = 2 + sin(2x)cos(pi/5) - cos(2x)sin(pi/5)
Using the trigonometric identity sin(A+B) = sinAcosB + cosAsinB and cos(A+B) = cosAcosB - sinAsinB, we can simplify the expression:
Y = 2 + sin(2x + pi/5)
Therefore, the simplified expression is Y = 2 + sin(2x + pi/5).
Y = 2 + sin(2x)cos(pi/5) - cos(2x)sin(pi/5)
Using the trigonometric identity sin(A+B) = sinAcosB + cosAsinB and cos(A+B) = cosAcosB - sinAsinB, we can simplify the expression:
Y = 2 + sin(2x + pi/5)
Therefore, the simplified expression is Y = 2 + sin(2x + pi/5).