# Re-arranging cosh to make x the subject

• zfleas
So I can use that.In summary, the speaker is seeking help with a question in their HNC course, specifically in calculating x when y = 50 in the equation y=38cosh(x/40). They would like to learn how to solve it themselves and are wondering if there is a simpler way to make x the subject. They mention using the function arccosh for this purpose.
zfleas
Hi everyone, my first post so forgive me if its rubbish!
I have been set a question in my HNC course and have hit a wall with where to proceed with it. I would just post the question but rather than that and you giving me the answer I would rather learn how to do it myself, so I will answer a similar one.

I need to calculate x in the following when y = 50
y=38cosh(x/40)

How would I go about making x the subject so I can calculate it? Or is it even more simple than that?
Any help is greatly appreciated
Cheers
:)

There is a defined function for this, arccosh.

## 1. How do you re-arrange cosh to make x the subject?

To make x the subject of the cosh equation, you simply need to isolate it on one side of the equation. This can be done by using basic algebraic manipulation, such as adding, subtracting, multiplying, and dividing both sides by the same value.

## 2. What is the purpose of re-arranging cosh to make x the subject?

Re-arranging an equation to make x the subject allows you to solve for the value of x. This can be useful in solving mathematical problems or finding the value of a variable in a scientific experiment.

## 3. Can any equation with cosh be re-arranged to make x the subject?

Yes, any equation with cosh can be re-arranged to make x the subject. However, the complexity of the equation and the number of variables involved may make it more challenging to do so.

## 4. Are there any specific rules or steps to follow when re-arranging cosh to make x the subject?

The general rule for re-arranging any equation to make a specific variable the subject is to perform the same operation on both sides of the equation. For example, if you need to get rid of a term on one side of the equation, you can add or subtract that term on both sides. Just be sure to follow the order of operations and simplify as needed.

## 5. What are some common mistakes to avoid when re-arranging cosh to make x the subject?

One common mistake is forgetting to perform the same operation on both sides of the equation. This will result in an incorrect answer. It is also important to check your work and simplify as much as possible to avoid making errors in the final answer.

Replies
3
Views
388
Replies
11
Views
607
Replies
24
Views
2K
Replies
6
Views
3K
Replies
44
Views
1K
Replies
3
Views
509
Replies
1
Views
2K
Replies
4
Views
1K
Replies
12
Views
411
Replies
24
Views
2K