The exact value of sin 22.5 deg. is (sq root of a - (sq.root b)) / c. Find a, b, and c. :confused:
The exact value of sin 22.5 deg. is (sq root of a - (sq.root b)) / c. Find a, b, and c. :confused:
Using the half-angle formula:
$\displaystyle \sin{\frac{A}{2}} = \sqrt{\frac{1-\cos{A}}{2}}$
In your case,
$\displaystyle \sin{\frac{45}{2}} = \sqrt{\frac{1-\cos{45}}{2}}$
$\displaystyle =\sqrt{\frac{1-\frac{\sqrt{2}}{2}}{2}}$
$\displaystyle =\sqrt{\frac{2-\sqrt{2}}{4}}$
$\displaystyle =\frac{\sqrt{2-\sqrt{2}}}{2}$
i.e, a = 2, b = 2, c = 2
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and thanks for the spam tip, i don't really use these things so ya
Well, feel free to post your problems if you have a lot, but don't post the same one in different forums.
Anyhoo, welcome to Mathhelpforum :D