Question

Упроститть(sinx+3sinx)(cosx-cos3x) / 1-cos 4x

Answer 1

Ответ

((Sin(x)+sin(3*x))/(cos(x)+co+coss(3*x(1)))*(4*x))=((2*Sin(2*x)*cos(x))/2*cos(2*x)*cos(x)))*2*(cos(2*x)=sin(4*x);

Answer 2

$\frac{(sinx+3sinx)*(cosx-cos3x)}{1-cos4x} \\\frac{4sinx*(-2sin(2x)*sin(-x))}{2sin(2x)^2} \\\frac{4sinx*(-2sin(2x)*(-sin(x))}{2*(2sin(x)*cos(x))^2} \\\frac{4sin(x)*2sin(x)*cos(x)*sin(x)}{4sin(x)^2*cos(x)^2} \\\frac{2*2sin(x)*sin(x)}{2sin(x)*cos(x)} \\\frac{2sin(x)}{cos(x)} \\2tan(x)$

Ответ: 2tg(x)