What is the value of 1+cos((5pi)/6) ?

The value of 1+cos((5pi)/6) is 1-(sqrt(3))/2

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1+cos((5pi)/6)

1 + cos (\frac{5 π}{6})

1 - \frac{3}{2}

Decimal Notation

0.13397 \dots

Solution steps

1 + 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}

= 1 - \frac{3}{2}

\frac{90 sin ( 4 6 ^{\circ} )}{sin ( 6 9 ^{\circ} )}

arctan (\frac{0.0736}{0.15})

arcsin (cos (2 π))

arcsin (\frac{4.4}{11})

cos (\frac{\frac{2 π}{3} + 2 π}{4})

What is the value of 1+cos((5pi)/6) ?
The value of 1+cos((5pi)/6) is 1-(sqrt(3))/2