What is the value of sin(pi/(12))cos(pi/(12)) ?

The value of sin(pi/(12))cos(pi/(12)) is 1/4

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sin(pi/(12))cos(pi/(12))

sin (\frac{π}{12}) cos (\frac{π}{12})

\frac{1}{4}

Solution steps

sin (\frac{π}{12}) cos (\frac{π}{12})

Rewrite using trig identities:

\frac{sin ( \frac{π}{6} )}{2}

= \frac{sin ( \frac{π}{6} )}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

= \frac{\frac{1}{2}}{2}

Simplify

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

= \frac{1}{4}

arctan (50)

arcsin (sin (\frac{π}{5}))

arctan (13)

tan (2 arcsin (\frac{4}{5}))

arcsin (\frac{5}{12})

What is the value of sin(pi/(12))cos(pi/(12)) ?
The value of sin(pi/(12))cos(pi/(12)) is 1/4