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

The value of 9.81*sin(30) is 981/200

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9.81*sin(30)

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

\frac{981}{200}

Decimal Notation

4.905

Solution steps

9.81 sin (3 0^{\circ})

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

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

Simplify

\frac{981}{100} \cdot \frac{1}{2} : \frac{981}{200}

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

Multiply fractions:

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

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

Multiply the numbers:

981 \cdot 1 = 981

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

Multiply the numbers:

100 \cdot 2 = 200

= \frac{981}{200}

= \frac{981}{200}

sec^{2} (- \frac{π}{4}) - 1

cot (arcsin (\frac{1}{3}))

15 cos (4 0^{\circ})

arcsin (sin (- \frac{π}{2}))

arctan (\frac{7.4}{14})