What is the value of (9.78*sin(30))/(9.81) ?

The value of (9.78*sin(30))/(9.81) is 163/327

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(9.78*sin(30))/(9.81)

\frac{9.78 \cdot sin ( 3 0 ^{\circ} )}{9.81}

\frac{163}{327}

Decimal Notation

0.49847 \dots

Solution steps

\frac{9.78 sin ( 3 0 ^{\circ} )}{9.81}

= \frac{\frac{489}{50} sin ( 3 0 ^{\circ} )}{\frac{981}{100}}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} 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{\frac{489}{50} \cdot \frac{1}{2}}{\frac{981}{100}}

Simplify

\frac{\frac{489}{50} \cdot \frac{1}{2}}{\frac{981}{100}} : \frac{163}{327}

\frac{\frac{489}{50} \cdot \frac{1}{2}}{\frac{981}{100}}

Apply the fraction rule:

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

= \frac{\frac{489}{50} \cdot \frac{1}{2} \cdot 100}{981}

Multiply

\frac{489}{50} \cdot \frac{1}{2} \cdot 100 : 489

\frac{489}{50} \cdot \frac{1}{2} \cdot 100

Multiply fractions:

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

= \frac{489 \cdot 1 \cdot 100}{50 \cdot 2}

Multiply the numbers:

489 \cdot 1 \cdot 100 = 48900

= \frac{48900}{50 \cdot 2}

Multiply the numbers:

50 \cdot 2 = 100

= \frac{48900}{100}

Divide the numbers:

\frac{48900}{100} = 489

= 489

= \frac{489}{981}

Cancel the common factor:

3

= \frac{163}{327}

= \frac{163}{327}

cos (\frac{3}{8})

arctan (3) - arctan (1)

2 sin (6)

6 \cdot cos (\frac{π}{3})

csc (\frac{π}{10})

What is the value of (9.78*sin(30))/(9.81) ?
The value of (9.78*sin(30))/(9.81) is 163/327