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Popular >

sin(5 pi/6)

Solution

sin (5 \frac{π}{6})

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

sin (5 \cdot \frac{π}{6})

Simplify:

5 \cdot \frac{π}{6} = \frac{5 π}{6}

5 \cdot \frac{π}{6}

Multiply fractions:

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

= \frac{π 5}{6}

= sin (\frac{5 π}{6})

Use the following trivial identity:

sin (\frac{5 π}{6}) = \frac{1}{2}

sin (\frac{5 π}{6})

sin (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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2}

Popular Examples

6 sin (\frac{5 π}{3})

cot (\frac{- π}{2})

sin(arcsin(7/8))

sin (arcsin (\frac{7}{8}))

9 cos (3 0^{\circ})

arccos(7/(sqrt(126)))

arccos (\frac{7}{126})

Frequently Asked Questions (FAQ)

What is the value of sin(5 pi/6) ?
The value of sin(5 pi/6) is 1/2