What is the value of cos(pi/(24)) ?

The value of cos(pi/(24)) is (sqrt(2)sqrt(4+\sqrt{6)+sqrt(2)})/4

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cos(pi/(24))

cos (\frac{π}{24})

\frac{2 4 + 6 + 2}{4}

Solution steps

cos (\frac{π}{24})

Rewrite using trig identities:

\frac{1 + cos ( \frac{π}{12} )}{2}

= \frac{1 + cos ( \frac{π}{12} )}{2}

Rewrite using trig identities:

cos (\frac{π}{12}) = \frac{6 + 2}{4}

= \frac{1 + \frac{6 + 2}{4}}{2}

Simplify

\frac{1 + \frac{6 + 2}{4}}{2} : \frac{2 4 + 6 + 2}{4}

= \frac{2 4 + 6 + 2}{4}

2 π sin (2 π)

4 sin (π + π) + 3

arcsin (\frac{14 2}{39})

sin (4 0^{\circ}) cos (5 0^{\circ}) + cos (4 0^{\circ}) sin (5 0^{\circ})

cot (\frac{12}{5})

What is the value of cos(pi/(24)) ?
The value of cos(pi/(24)) is (sqrt(2)sqrt(4+\sqrt{6)+sqrt(2)})/4