write:

6sin[theta] * sin6[theta]

as a sum or difference.

write cos5[theta]+ cos3[theta] as a product

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- May 22nd 2008, 05:30 PM>_<SHY_GUY>_<Product To Sum for trigonometry
write:

6sin[theta] * sin6[theta]

as a sum or difference.

write cos5[theta]+ cos3[theta] as a product - May 22nd 2008, 05:47 PMJhevon
- May 22nd 2008, 05:47 PMgalactusQuote:

write cos5[theta]+ cos3[theta] as a product

$\displaystyle 2cos\left(4{\theta}\right)cos({\theta})$ - May 22nd 2008, 05:53 PM>_<SHY_GUY>_<
- May 22nd 2008, 05:56 PM>_<SHY_GUY>_<
- May 22nd 2008, 06:02 PMMathstud28
$\displaystyle \cos^{2m}(x)$ or

$\displaystyle \sin^{2m}(x)$

where $\displaystyle m\in\mathbb{N}$

$\displaystyle \sin^{2m+1}(x)$

or $\displaystyle \cos^{2m+1}(x)$

$\displaystyle m\in\mathbb{Z^{+}}$

use pythagorean identity

$\displaystyle \sin\bigg(\frac{x}{2}\bigg)$

or $\displaystyle \cos\bigg(\frac{x}{2}\bigg)$

use half-angle formulas

$\displaystyle \cos(2mx)$

or $\displaystyle \sin(2mx)$

and $\displaystyle m\in\mathbb{N}$

use double angle formuals

**NOTE**the restrictions on m arent neccasary, but if m does not satisfy those conditions it is tricker because you get into radicals and such - May 22nd 2008, 06:31 PM>_<SHY_GUY>_<
- May 22nd 2008, 07:07 PMMathstud28