Question

4корень2cosп/4cos7п/3

Answer 1

Ответь: все правильноооо

Answer 2

To simplify the expression 4√2cos(π/4)cos(7π/3), let's break it down step by step:

First, let's simplify the cosine terms: cos(π/4) = (√2)/2 cos(7π/3) = -1/2

Now we can substitute these values back into the original expression: 4√2cos(π/4)cos(7π/3) = 4√2 * (√2)/2 * (-1/2)

Next, simplify the expression within the brackets: 4√2 * (√2)/2 * (-1/2) = 4 * 2 * (-1/2)

Now we can simplify further: 4 * 2 * (-1/2) = -4

Therefore, the simplified value of 4√2cos(π/4)cos(7π/3) is -4.