Question

Cos(p/2+6x)sin(2p-2x)/8sin(3p/2-2x)

Answer 1

На фотоо ..................

Answer 2

To simplify the given expression, we can use trigonometric identities and properties. Let's break down the expression step-by-step:

1. Cos(p/2 + 6x): We use the following identity: cos(a + b) = cos(a)cos(b) - sin(a)sin(b). Here, a = p/2 and b = 6x.

cos(p/2 + 6x) = cos(p/2)cos(6x) - sin(p/2)sin(6x) = 0cos(6x) - 1sin(6x) = -sin(6x).

2. Sin(2p - 2x): This does not have a simple identity to simplify further, so we leave it as it is.

3. 8sin(3p/2 - 2x): This does not have a simple identity to simplify further, so we leave it as it is.

Now, putting all the simplified expressions together, we get:

(-sin(6x)) * (sin(2p - 2x)) / (8sin(3p/2 - 2x))

This is the simplified form of the given expression.