Question

Sin5xcos3x+cos5xsin3x=sin8x

Answer 1

Это формула синус суммы углов(аргументов)

sin(5x+3x)=sin8x

sin8x=sin8x

Answer 2

We can start by using the trigonometric identity:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

Applying this identity, we can rewrite the left-hand side of the equation as:

sin(5x + 3x) = sin(8x)

So, the equation becomes:

sin(8x) = sin(8x)

which is true for all values of x. Therefore, the given equation is an identity and holds true for all values of x.