Question

Вычислить значение выражения$\frac{24sin 14°*cos14°*cos28°}{cos34°}$

Answer 1

$\dfrac{24\sin14^\circ\cos14^\circ\cos28^\circ}{\cos34^\circ}=\dfrac{12\sin28^\circ\cos28^\circ}{\cos34^\circ}=\dfrac{6\sin56^\circ}{\cos34^\circ}=\dfrac{6\sin(90^\circ-34^\circ)}{\cos34^\circ}=\\ \\ \\ =\dfrac{6\cos34^\circ}{\cos34^\circ}=6$