What is the value of 8.27*9.81*cos(30) ?

The value of 8.27*9.81*cos(30) is (811287sqrt(3))/(20000)

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8.279.81cos(30)

8.27 \cdot 9.81 \cdot cos (3 0^{\circ})

\frac{811287 3}{20000}

Decimal Notation

70.25951 \dots

Solution steps

8.27 \cdot 9.81 cos (3 0^{\circ})

= \frac{827}{100} \cdot \frac{981}{100} cos (3 0^{\circ})

Use the following trivial identity:

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

cos (3 0^{\circ})

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{3}{2}

= \frac{827}{100} \cdot \frac{981}{100} \cdot \frac{3}{2}

Simplify

\frac{827}{100} \cdot \frac{981}{100} \cdot \frac{3}{2} : \frac{811287 3}{20000}

\frac{827}{100} \cdot \frac{981}{100} \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{827 \cdot 981 3}{100 \cdot 100 \cdot 2}

Multiply the numbers:

827 \cdot 981 = 811287

= \frac{811287 3}{100 \cdot 100 \cdot 2}

Multiply the numbers:

100 \cdot 100 \cdot 2 = 20000

= \frac{811287 3}{20000}

= \frac{811287 3}{20000}

\frac{( 100 cos ( 100 ( 0.01 ) ) - \frac{0}{0.1} )}{5}

\frac{( 0.305 )}{sin ( 3.82 )}

300 \cdot sec^{2} (\frac{π}{6})

16 sin^{2} (\frac{π}{4}) + 49 cos^{2} (\frac{π}{4})

20 sin (10 5^{\circ})

What is the value of 8.27*9.81*cos(30) ?
The value of 8.27*9.81*cos(30) is (811287sqrt(3))/(20000)