I am able to do it in 2 steps

1. Isolate t:

2. Set n to zero and simplify:

Which is equal to: $$\frac{\cos ^{-1}\left(\frac{x}{13}\right)+\frac{\pi }{4}}{2 \pi }$$

As I said before I do not have much experience with WA. Maybe there is some way to do this two step rewriting in a single step.

Finally:

What command could I use to ask WA to 'Transpose' or 'Rearrange' for another variable without giving a solution that I don't want?

That would be like telling WA to do its job "just right". I dont know how to do that.

Hans

WA and your tutor actually gives the same solution. The solutions are in different forms, but they give the same numerical result.

Wolfram|Alpha:

The n parameter reflects the fact that ArcSin is multivalued. Here it is set to zero because the angle we are looking for is in the first interval, -pi/2 to pi/2.

Tutor:

I'm grateful for your example and agree that such a transposition is do-able without the use of WA. I really just used it to see how to instruct WA and get familiar with its language. What I've learned from this thread is that WA presupposes a level of knowledge that I do not yet have. Fortunately for me and others like me, there are a lot of alternatives online to choose from.

Thanks for taking the time to help.

Thanks for the example Hans.

You demonstrate a good knowledge of what instructions WA is able to recognise (ie 'Solve' and the >0 conditions) which establishes WA's ability to compute bespoke calculations rather than just plugging values into template examples. How did you learn to do this and what advice can you offer to anyone else hoping to input their own problems?

Can the steps of your transposition be shown?

Ian

It means rearranging a formula or equation to an equivalent form and is useful for finding unknown variables.

I gave an example in one of my previous posts.

e.g. Is it possible for WA to transpose a=b^(c/d) to make d the subject?

Here's a link to a free online transposition tool

Thanks for the link but it doesn't address my questions.

I'm looking for examples of how WA provides step by step transpositions of formulae and have given an example of such.

I'd also like to know how I can learn the specific form of input that WA requires, e.g. why it is necessary to type 'transposition of' and not just 'transpose'.

It might be possible that I am expecting to much from WA.

I am not looking for examples of matrices.

Ian

Thanks for the reply.

I have a few questions about your example:

I'm not sure what 'transpose of {{a,b},{c,d}}' is asking, is it a matrix?

The use of your instruction 'transpose of' is interesting, I was just using 'transpose'. How can I learn the correct syntax required for WA, is there a list of commands available?

I don't have a specific formula in mind but want to better understand how to use WA to, transpose, for instance. If I wanted to transpose a=b^(c/d) for d, how would I input this to get the answer and step by step instructions?

Thanks again for sharing your method.

Ian

I'm surprised that there's been no response to the above, I thought there would've been a simple answer. Perhaps this information already exists somewhere, maybe in a manual or other document, if so, can anyone direct me to it please?

Ian