What is the value of cos((13pi)/(12)) ?

The value of cos((13pi)/(12)) is (sqrt(2)(-sqrt(3)-1))/4

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cos((13pi)/(12))

cos (\frac{13 π}{12})

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

Solution steps

cos (\frac{13 π}{12})

Rewrite using trig identities:

cos (\frac{5 π}{6}) cos (\frac{π}{4}) - sin (\frac{5 π}{6}) sin (\frac{π}{4})

= cos (\frac{5 π}{6}) cos (\frac{π}{4}) - sin (\frac{5 π}{6}) sin (\frac{π}{4})

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{5 π}{6}) = \frac{1}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

= (- \frac{3}{2}) \frac{2}{2} - \frac{1}{2} \cdot \frac{2}{2}

Simplify

(- \frac{3}{2}) \frac{2}{2} - \frac{1}{2} \cdot \frac{2}{2} : \frac{2 ( - 3 - 1 )}{4}

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

sin (2 θ) + sin (θ) = 0

cos (θ) = \frac{3}{2}

tan (- π)

sin (x) = - 0.7

cot (3 0^{\circ})

What is the value of cos((13pi)/(12)) ?
The value of cos((13pi)/(12)) is (sqrt(2)(-sqrt(3)-1))/4