What is the value of cos(((5pi))/6) ?

The value of cos(((5pi))/6) is -(sqrt(3))/2

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Find the Exact Value cos((5pi)/6)

cos (\frac{( 5 π )}{6})

- \frac{3}{2}

Decimal Notation

- 0.86602 \dots

Solution steps

cos (\frac{( 5 π )}{6})

= cos (\frac{5 π}{6})

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

cos (\frac{5 π}{6})

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= - \frac{3}{2}

= - \frac{3}{2}

cos (θ) = \frac{4}{5}, 27 0^{\circ} < θ < 36 0^{\circ}

tan (\frac{( 5 π )}{6})

sin (\frac{200}{90})

x, tan (x) = 2

x, cos (2 x) = - cos (x)

What is the value of cos(((5pi))/6) ?
The value of cos(((5pi))/6) is -(sqrt(3))/2