Question

√2sin(3π/8)cos(3π/8)

Answer 1

Ответ:

0.5

Пошаговое объяснение:

.................. ..

Answer 2

To simplify the expression √2sin(3π/8)cos(3π/8), you can use the double-angle formula for sine:

sin(2θ) = 2sin(θ)cos(θ)

In this case, θ = 3π/8. So, you can rewrite the expression as:

√2sin(3π/8)cos(3π/8) = √2 * 1/2 * sin(2(3π/8))

Now, apply the double-angle formula:

√2 * 1/2 * sin(2(3π/8)) = √2 * 1/2 * 2sin(3π/8)cos(3π/8)

Notice that the 2 in the formula cancels out with the 1/2, so you're left with:

√2 * sin(3π/8)cos(3π/8)

So, the simplified expression is:

√2sin(3π/8)cos(3π/8)