Question

Cos² π/12−sin² π/12 : 12 2:√2 0 3:√2 1Выбрать верный ответ

Answer 1

Ответ:

cos²П/12 - sin²П/12 = cos П/ 6 = √3 / 2

Answer 2

Ответ:

$\frac{ \sqrt{3} }{2}$

Answer 3

To simplify the expression cos²(π/12) - sin²(π/12), we can use trigonometric identities. One of the most commonly used identities is:

cos²θ - sin²θ = cos(2θ)

Using this identity, we have:

cos²(π/12) - sin²(π/12) = cos(2 * π/12) = cos(π/6)

Now, let's find the value of cos(π/6):

cos(π/6) = √3/2

So the correct answer is: 3:√2