Решите уравнение 3cos(x+1)-4sin(x+1)=5

x+1=t3cos²t/2-3sin²t/2-8sint/2cost/2-5sin²t/2-5cos²t/2=0-8sin²t/2-8sint/2cost/2-2cos²t/2=0/(-2cos²t/2)4tg²t/2+4tgt/2+1=0(2tgt/2+1)²=02tgt/2=-1tgt/2=-1/2t/2=-arctg1/2+πn,n∈zt=-2arctg1/2+2πn∈zx+1=-2arctg1/2+2πn∈zx=-1-2arctg1/2+2πn∈z