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

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

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sin(pi/(24))

sin (\frac{π}{24})

\frac{2 4 - 6 - 2}{4}

Solution steps

sin (\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}

arctan (- \frac{2}{6})

8 \cdot (\frac{2 0 ^{2}}{4 tan ( \frac{0.79}{2} )})

sin (arcsin (\frac{1}{3}) + arctan (\frac{4}{7}))

4 + 3 cos (\frac{π}{4})

cos (6 1^{\circ}) + sin (2 9^{\circ})

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