What is the value of sqrt(3)sin(pi/6) ?

The value of sqrt(3)sin(pi/6) is (sqrt(3))/2

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sqrt(3)sin(pi/6)

3 sin (\frac{π}{6})

\frac{3}{2}

Decimal Notation

0.86602 \dots

Solution steps

3 sin (\frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

sin (\frac{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}

= 3 \frac{1}{2}

Simplify

3 \frac{1}{2} : \frac{3}{2}

3 \frac{1}{2}

Multiply fractions:

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

= \frac{1 \cdot 3}{2}

Multiply:

1 \cdot 3 = 3

= \frac{3}{2}

= \frac{3}{2}

(csc (0)) (sin (3 5^{\circ} - 0))

0.15 \cdot 9.81 \cdot sin (9 0^{\circ})

32 sin (2 (0))

160 sin (3 0^{\circ})

- ln cos (\frac{π}{4})

What is the value of sqrt(3)sin(pi/6) ?
The value of sqrt(3)sin(pi/6) is (sqrt(3))/2