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Popular >

cos(1/3 pi)

Solution

cos (\frac{1}{3} π)

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

cos (\frac{1}{3} π)

Simplify:

\frac{1}{3} π = \frac{π}{3}

\frac{1}{3} π

Multiply fractions:

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

= \frac{1 π}{3}

Multiply:

1 π = π

= \frac{π}{3}

= cos (\frac{π}{3})

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

cos (\frac{π}{3})

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{1}{2}

= \frac{1}{2}

Popular Examples

- sin (\frac{5 π}{6})

2 + sin (0)

csc (- 36 0^{\circ})

sin(arccos(4/9))

sin (arccos (\frac{4}{9}))

csc (\frac{π}{8})

Frequently Asked Questions (FAQ)

What is the value of cos(1/3 pi) ?
The value of cos(1/3 pi) is 1/2