Question

Cos^2 * (3*П/4+П/2) чему равно?

Answer 1

=cos^2(5pi/4) = (-sqrt2/2)^2=2/4=1/2

Answer 2

Let's break down the expression step by step:

1. First, let's simplify the angle inside the cosine function: 3π/4 + π/2 = (3π + 2π) / 4 = 5π / 4

2. Now we have cos^2(5π/4). The square of a cosine function means that you take the cosine of the angle and then square the result.

3. The value of the cosine function at 5π/4 can be determined using the unit circle or trigonometric identities. At 5π/4, the cosine function has a value of √2 / 2.

4. Now, square the value: (√2 / 2)^2 = 2 / 4 = 1 / 2

So, cos^2(3π/4 + π/2) is equal to 1/2.