Question

Sin(π15)cos(4π15)+cos(π15)sin(4π15)sin⁡(π15)cos(4π15)+cos(π15)sin(4π15)​

Answer 1

Ответ: Получается просто ноль )

Answer 2

It looks like you have a trigonometric expression that involves the sine and cosine functions. Let's simplify it step by step:

sin(π/15)cos(4π/15) + cos(π/15)sin(4π/15)

First, you can use the trigonometric identity for the sine of a sum of angles:

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

In this case, A = π/15 and B = 4π/15, so:

sin(π/15 + 4π/15) = sin(5π/15) = sin(π/3)

Now, the sine of π/3 is a well-known value:

sin(π/3) = √3/2

So, the simplified expression is:

√3/2