Trig idents while computing limit

1. Jul 23, 2017

quicksilver123

My screenshots show an attempt at a solution and the given solution path from the book, but I can't seem to figure it out.

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2. Jul 23, 2017

scottdave

3. Jul 23, 2017

quicksilver123

That is the identity I used to expand the (x+h) terms but could not factor to the next step due to the sin(h) term.... unless I made an error in my expansion that I haven't caught?

4. Jul 23, 2017

scottdave

In your work, factor a sin(x) from the first 2 terms and cos(x) from the next 2 terms. You should now have the same as the solution guide. Note that it takes 2 lines to display theirs. I don't know what you've done in the denominator, though. .

5. Jul 23, 2017

quicksilver123

Thanks. I don't know why I didn't see that.