What is the value of 3sin(pi/(12)) ?

The value of 3sin(pi/(12)) is (3(sqrt(6)-sqrt(2)))/4

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3sin(pi/(12))

3 sin (\frac{π}{12})

\frac{3 ( 6 - 2 )}{4}

Solution steps

3 sin (\frac{π}{12})

Rewrite using trig identities:

sin (\frac{π}{12}) = \frac{6 - 2}{4}

= 3 \cdot \frac{6 - 2}{4}

Simplify

3 \cdot \frac{6 - 2}{4} : \frac{3 ( 6 - 2 )}{4}

= \frac{3 ( 6 - 2 )}{4}

\frac{sin ( 15 0 ^{\circ} ) + sin ( 3 0 ^{\circ} )}{cos ( 12 0 ^{\circ} ) + cos ( 24 0 ^{\circ} )}

- 6 sin (3 0^{\circ}) + 2 cos (6 0^{\circ})

arcsin (\frac{9.2}{15.6})

arccos (0.371)

arccos (sin (- \frac{11 π}{4}))

What is the value of 3sin(pi/(12)) ?
The value of 3sin(pi/(12)) is (3(sqrt(6)-sqrt(2)))/4