упростите - 4 sin^2 B + 3 cos^2 B + 5 ctgB * tgB

$-4sin^{2}\beta+3cos^{2}\beta+5tg\beta*ctg\beta=-4(1-cos^{2}\beta)+3cos^{2}\beta+5*1=$

$=-4+4cos^{2}cos^{2}\beta+3cos^{2}\beta+5=7cos^{2}\beta+1$