What is expand sin(pi/6) ?

The solution to expand sin(pi/6) is 1/2

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expand sin(pi/6)

expand

sin (\frac{π}{6})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

sin (\frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

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}

(u^{\frac{3}{2}} + 3 u)^{2}

2 (2 + 22 + 6)

\frac{ln ( \frac{cy - f y}{c ( - f + y )} )}{b}

x (\frac{384}{x - 12} + 8)

\frac{( x - 1 ) ( x + 1 + 2 x )}{2 x ^{2} + 3}