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Popular >

30sin(pi/3)

Solution

30 sin (\frac{π}{3})

Solution

153

+1

Decimal Notation

25.98076 \dots

Solution steps

30 sin (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

sin (\frac{π}{3})

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{3}{2}

= 30 \cdot \frac{3}{2}

Simplify

30 \cdot \frac{3}{2} : 153

30 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 30}{2}

Divide the numbers:

\frac{30}{2} = 15

= 153

= 153

Popular Examples

arctan (\frac{13}{16})

74 cos (7 4^{\circ})

sin (41 5^{\circ})

sin(pi/2)*cos(pi/2)

sin (\frac{π}{2}) \cdot cos (\frac{π}{2})

cos (57.6 8^{\circ})

Frequently Asked Questions (FAQ)

What is the value of 30sin(pi/3) ?
The value of 30sin(pi/3) is 15sqrt(3)