distinct value of

**afeasfaerw23231233** · May 19th 2008, 10:29 PM

given $cos ^2 \frac {4k\pi\pm\pi}{12}$
how can i find the three distinct values of it beside putting k = 1,2,3,4,5..... to evaluate it's value to see they are the same or not?

**Jhevon** · May 19th 2008, 10:38 PM

Originally Posted by afeasfaerw23231233

given $cos ^2 \frac {4k\pi\pm\pi}{12}$
how can i find the three distinct values of it beside putting k = 1,2,3,4,5..... to evaluate it's value to see they are the same or not?

note that $\cos^2 \left( \frac {4k \pi \pm \pi}{12} \right) = \frac {1 + \cos \frac {(4k \pm 1) \pi}6}2$

it should be easier for you to find the values when k = 1,2,3,4.... now

(hope you're good with reference angles

)

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