Question

X=-5/13 xЭ(п/2,п),cos x/2

Answer 1

Ответ:

вот ответ думаю правильно,удачи

Answer 2

It looks like you have an equation and some trigonometric functions involved. Let's break it down step by step:

1. X = -5/13 This is a simple equation where X is equal to -5/13.

2. x ∈ (π/2, π) This notation indicates that the variable x belongs to the open interval between π/2 (exclusive) and π (exclusive). In other words, x is greater than π/2 but less than π.

3. cos(x/2) This is a trigonometric function. You want to calculate the cosine of x divided by 2.

Now, let's find the value of cos(x/2) when x belongs to the specified interval:

Given that x ∈ (π/2, π), we can see that x/2 will be in the interval (π/4, π/2). To calculate cos(x/2), we can use the properties of the cosine function:

cos(π/4) < cos(x/2) < cos(π/2)

cos(π/4) is equal to √2/2, and cos(π/2) is equal to 0.

So, we have:

√2/2 < cos(x/2) < 0

Therefore, cos(x/2) lies between √2/2 and 0 for x ∈ (π/2, π).

Now, if you want to calculate the value of cos(x/2) when x = -5/13, you can plug it into the equation:

cos(-5/13 / 2)

cos(-5/26)

This will give you the cosine of -5/26, which is a specific numerical value. You can calculate this using a calculator or software.