Question

Sin 3 a * cos a + cos 3 a sin a = ?

Answer 1

Ответ:

sin(3a+a)=sin4a это формула

Answer 2

The expression you provided, sin(3a) * cos(a) + cos(3a) * sin(a), can be simplified using trigonometric identities. One identity that is relevant here is the sum-to-product identity:

sin(A) * cos(B) + cos(A) * sin(B) = sin(A + B).

Applying this identity to the expression, we have:

sin(3a) * cos(a) + cos(3a) * sin(a) = sin(3a + a).

Now, simplify the angle inside the sine function:

3a + a = 4a.

So, the simplified expression is:

sin(4a).