Question

19.9. 1) sin3x cos4x + cos3x sin4xпо​

Answer 1

________ответ:_____ sin7x_____

Answer 2

To simplify the expression $\sin(3x)\cos(4x) + \cos(3x)\sin(4x)$, you can use the trigonometric identity $\sin(A + B) = \sin(A)\cos(B) + \cos(A)\sin(B)$, where in this case, $A = 3x$ and $B = 4x$. So, you can rewrite the expression as:

$$\sin(3x + 4x)$$

Now, simplify the angle inside the sine function:

$$\sin(7x)$$

So, the simplified expression is $\sin(7x)$.