Question

Обчистить Sin15cos15

Answer 1

Ответ:

1/4 или 0,25

Пошаговое объяснение:

sin15°cos15°=0.5sin30°=0.5*0.5=0.25

Answer 2

To simplify the expression "sin(15)cos(15)", we can use the double-angle trigonometric identity for sine, which states:

sin(2θ) = 2sin(θ)cos(θ)

In this case, θ = 15 degrees. So, we have:

sin(15)cos(15) = 2 * sin(15) * cos(15) / 2

Now, we can rewrite the expression using the double-angle identity:

sin(15)cos(15) = sin(2 * 15) / 2

sin(2 * 15) means sin(30) because 2 * 15 = 30 degrees. The value of sin(30) is 1/2:

sin(15)cos(15) = sin(30) / 2 = 1/2 / 2 = 1/4

So, the simplified expression for sin(15)cos(15) is 1/4.