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

x+1=a3cos²a/2-3sin²a/2-8sina/2cosa/2-5sin²a/2-5cos²a/2=08sin²a/2-8sina/2coa/2-2cos²a/2=0/2cos²a/2≠04tg²a/2-4tga/2-1=0tga/2=m4m²-4m-1=0D=16+16=32m1=(4-4√2)/8=0,5-0,5√2⇒tga/2=0,5-0,5√2⇒a/2=arctg(0,5-0,5√2)+πn⇒a==2arctg(0,5-0,5√2)+2πn⇒x+1=2arctg(0,5-0,5√2)+2πn⇒x=-1+2arctg(0,5-0,5√2)+2πnm2=0,5-0,5√2⇒tga/2=0,5-0,5√2⇒a/2=arctg(0,5-0,5√2)+πn⇒a==2arctg(0,5+0,5√2)+2πn⇒x+1=2arctg(0,5+0,5√2)+2πn⇒x=-1+2arctg(0,5+0,5√2)+2πn