Trigonometry

**meli3000** · June 12th 2008, 02:20 PM

simplify the following. sin(7π/12) + cos(-π/12)
final answer must be EXACT

please show all work.
Thanks

**TheEmptySet** · June 12th 2008, 03:38 PM

Originally Posted by meli3000

simplify the following. sin(7π/12) + cos(-π/12)
final answer must be EXACT

please show all work.
Thanks

Here is a hint:

$\frac{\pi}{3}+\frac{\pi}{4}=\frac{7\pi}{12}$ and

$\frac{\pi}{4}-\frac{\pi}{3}=\frac{-\pi}{12}$

Think sum and difference identities.

Good luck.

**Mathnasium** · June 12th 2008, 03:42 PM

Originally Posted by TheEmptySet

$\frac{\pi}{3}+\frac{\pi}{4}=\frac{7\pi}{4}$

Should be $\frac{\pi}{3}+\frac{\pi}{4}=\frac{7\pi}{12}$

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