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Thread: exact values

  1. #1
    Junior Member
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    Smile 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
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  2. #2
    Site Founder MathMan's Avatar
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    Please use LaTeX to enter math equations. You can learn how here:
    http://www.mathhelpforum.com/math-he...read.php?t=266

    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} $
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  3. #3
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    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} $
    $\displaystyle = 1-\frac{1}{2}\,\sqrt {3}$
    Last edited by paultwang; May 26th 2005 at 11:10 PM.
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  4. #4
    Site Founder MathMan's Avatar
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    Quote 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 $\displaystyle \pi$
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  5. #5
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    thanks

    but can you help me with the queston now?
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  6. #6
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    I gave you enough hints.
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