Originally Posted by

**Jaxx** Hi I have a question about the way a problem is worded and the solution you're expected to give based on that. I answered a question that said to show that:

$\displaystyle (1+sin\theta)^2 + cos^2\theta = 2(1+sin\theta)$

I went ahead and solved it in the following manner.

$\displaystyle 1 + 2sin\theta + sin^2\theta +cos^2\theta = 2 + 2sin\theta$

$\displaystyle sin^2\theta + cos^2\theta = 1$

$\displaystyle 1 = 1$ therefore the statement is true.

But when I check my text book it seems to just want me to rearrange the LHS so that it's the same as the RHS. Would both the text book answer and my answer be acceptable in an exam or must it be shown in the way the text book shows it?