Simplify :
sin(3t+π)+2cos(3t)
sin(3t+π)+2cos(3t)=sin(3t)cos(π)+cos(3t)sin(π)+2cos(3t)=sin(3t)⋅(−1)+0+2cos(3t)=2cos(3t)−sin(3t)
= 2cos(3t) - sin(3t)