Question

Cos 16° cos 14º – sin 16° sin 14°​

Answer 1

Ответ:cos 16°×cos 14°-sin 16°×sin 14°

по формуле cos(x+y)=cosx*cosy-sinx*siny имеем;

cos 16°×cos 14°-sin 16°×sin 14°=cos30°=∨3/2 - ответ

Пошаговое объяснение:

вродебы это

Answer 2

To simplify the expression cos(16°)cos(14°) - sin(16°)sin(14°), you can use the trigonometric identity for the cosine of the difference of two angles:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

In your case, A = 16° and B = 14°:

cos(16° - 14°) = cos(2°)

Now, you can use this identity to simplify your expression:

cos(16°)cos(14°) - sin(16°)sin(14°) = cos(2°)

So, cos(16°)cos(14°) - sin(16°)sin(14°) is equal to cos(2°).