What is the value of cos(11/6 pi) ?

The value of cos(11/6 pi) is (sqrt(3))/2

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cos(11/6 pi)

cos (\frac{11}{6} π)

\frac{3}{2}

Solution steps

cos (\frac{11}{6} π)

Simplify:

\frac{11}{6} π = \frac{11 π}{6}

= cos (\frac{11 π}{6})

Rewrite using trig identities:

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

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

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

Use the following trivial identity:

sin (π) = 0

Use the following trivial identity:

sin (\frac{5 π}{6}) = \frac{1}{2}

= (- 1) (- \frac{3}{2}) - 0 \cdot \frac{1}{2}

Simplify

= \frac{3}{2}

arcsin (\frac{2.1}{4})

cos^{2} (1) - sin^{2} (1)

sec (\frac{π}{3}) - sec (0)

cot (arcsin (- \frac{3}{6}))

cos (\frac{5}{8})