1. exact values

what is the exact value of

sin^2(pie/6) - 2sin(pie/6)cos(pie/6) + cos^2(-pie/6)

a. 2- (squareroot)3
b. (2- (squareroot)3)/2
c. (2+ (squareroot)3/2
d. 2+ (squareroot)3

2. Please use LaTeX to enter math equations. You can learn how here:

You can also click on the equation that I wrote and see the code I used to generate it.

The above would look like this:

$\displaystyle \sin^2(\frac{\Pi}{2}) - 2\sin(\frac{\Pi}{6}) + \cos^2(\frac{-\Pi}{6})$

a. $\displaystyle 2 - \sqrt {3}$

b. $\displaystyle \frac {2 - \sqrt {3}}{2}$

c. $\displaystyle 2 + \sqrt {3}$

3. LaTeX is also case sensitive. Therefore, big $\displaystyle \Pi$ and small $\displaystyle \pi$ mean and display differently.

$\displaystyle \left (\sin(\frac{\pi}{6})\right )^{2}-2\,\sin(\frac{\pi}{6})\cos(\frac{\pi}{6})+ \left (\cos(\frac{\pi}{6})\right )^{2}$
$\displaystyle = \left (\sin(\frac{\pi}{6})-\cos(\frac{\pi}{6})\right )^{2}$
$\displaystyle = 1-\frac{1}{2}\,\sqrt {3}$

4. Originally Posted by paultwang
LaTeX is also case sensitive. Therefore, big $\displaystyle \Pi$ and small $\displaystyle \pi$ mean and display differently.
Sorry my mistake with the $\displaystyle \pi$

5. thanks

but can you help me with the queston now?

6. I gave you enough hints.

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