# Thread: Preparing for next year 2

1. ## Preparing for next year 2

Hi,

I've asked for a list of questions from a teacher to do over the holidays. I'm struggling to use the text book to help me.

Could someone provide HOW to do these questions, as I just want to get an idea of what I'm getting next year.

Thanks.

3. Evaluate $\displaystyle P=sin6°sin42°sin66°sin78°$

4. Use the formula $\displaystyle tan2x = (2tanx)/(1-tan^2 x)$ to find a surd expression for $\displaystyle tan(pi/8)$

2. Evaluate how? Just put in the calculator and multiple unless the teacher wants you to use product to sum formulas but those don't go anywhere.

surd expression? What is that?

3. I don't know :S

They got 3 marks next to them.

Getting a holiday tutor soon, but thought i'd try here first.

4. Originally Posted by jonoe
[snip]
4. Use the formula $\displaystyle tan2x = (2tanx)/(1-tan^2 x)$ to find a surd expression for $\displaystyle tan(pi/8)$
Substitute x = pi/8 into the given formula. The answer is the positive (why?) solution to $\displaystyle \displaystyle 1 = \frac{2t}{1 - t^2}$ ....