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Popular Trigonometry >

22cos(pi/6)

Solution

22 cos (\frac{π}{6})

Solution

113

+1

Decimal

19.05255 \dots

Solution steps

22 cos (\frac{π}{6})

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

cos (\frac{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}

= 22 \cdot \frac{3}{2}

Simplify

22 \cdot \frac{3}{2} : 113

22 \cdot \frac{3}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 \cdot 22}{2}

Divide the numbers:

\frac{22}{2} = 11

= 113

= 113

Popular Examples

arccos(6/(sqrt(86)))

sin(60)(sqrt(3))/2

(sec(120)+cot(225)+cos(315))/(sin(270))

Frequently Asked Questions (FAQ)

What is the value of 22cos(pi/6) ?
The value of 22cos(pi/6) is 11sqrt(3)