What is the value of 10*9.81*sin(60) ?

The value of 10*9.81*sin(60) is (981sqrt(3))/(20)

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109.81sin(60)

10 \cdot 9.81 \cdot sin (6 0^{\circ})

\frac{981 3}{20}

Decimal

84.95709 \dots

Solution steps

10 \cdot 9.81 sin (6 0^{\circ})

= 10 \cdot \frac{981}{100} sin (6 0^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

sin (6 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{3}{2}

= 10 \cdot \frac{981}{100} \cdot \frac{3}{2}

Simplify

10 \cdot \frac{981}{100} \cdot \frac{3}{2} : \frac{981 3}{20}

10 \cdot \frac{981}{100} \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{981 3 \cdot 10}{100 \cdot 2}

Multiply the numbers:

981 \cdot 10 = 9810

= \frac{9810 3}{100 \cdot 2}

Multiply the numbers:

100 \cdot 2 = 200

= \frac{9810 3}{200}

Cancel the common factor:

10

= \frac{981 3}{20}

= \frac{981 3}{20}

What is the value of 10*9.81*sin(60) ?
The value of 10*9.81*sin(60) is (981sqrt(3))/(20)