What is the value of sin((-7pi)/(12)) ?

The value of sin((-7pi)/(12)) is -(sqrt(2)(sqrt(3)+1))/4

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sin((-7pi)/(12))

sin (\frac{- 7 π}{12})

- \frac{2 ( 3 + 1 )}{4}

Solution steps

sin (\frac{- 7 π}{12})

Simplify

= sin (- \frac{7 π}{12})

Use the following property:

sin (- x) = - sin (x)

sin (- \frac{7 π}{12}) = - sin (\frac{7 π}{12})

= - sin (\frac{7 π}{12})

Rewrite using trig identities:

sin (\frac{7 π}{12}) = \frac{2 ( 3 + 1 )}{4}

= - \frac{2 ( 3 + 1 )}{4}

cot (\frac{15 π}{4})

- 2 cos (2 π)

cos (\frac{6 π}{5})

- 2 sin (2 π)

arcsin (\frac{π}{6})

What is the value of sin((-7pi)/(12)) ?
The value of sin((-7pi)/(12)) is -(sqrt(2)(sqrt(3)+1))/4