-5 is on the left side of zero (negative) and 5 is on the right side of zero (positive). So, 5 is the answer...
First, lets note that

. This leads us with the following problem:

Lets add sin on both sides, and we get:

Now if we divide with sin on both sides we get:

Now we can remember how cot is defined, it is (cos/sin). So we have:

Now take the inverse of cot and we get:

In general we have

, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:
Applying the product rule of exponents, each product of powers are matched with its simplified expression as:
1. 
2. 
3. 
4. 
5. 
To multiply the powers having the same base, we will apply the product rule for exponents.
<h3>
What is the Product Rule for Exponents?</h3>
- Base on the product rule for exponents, we have,
. - In order to find the products of two given numbers that have the same base, the exponents would be added together.
1. 
Add the exponents together


2. 
Add the exponents together


3. 
Add the exponents together



4. 
Add the exponents together


5. 
Add the exponents together

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:
1. 
2. 
3. 
4. 
5. 
Learn more about product rule of exponents on:
brainly.com/question/847241
Since this is a piecewise function, we will want to find the right equation to use. We want to find f(2) so we will find the equation to use when x=2. This will be the third equation because it is -2<=x<=2. We then plug 2 into x^2 -2. This will give us (2^2)-2 = 4-2 = 2.