What is the value of 11sin(60) ?

The value of 11sin(60) is (11sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

11sin(60)

11 sin (6 0^{\circ})

\frac{11 3}{2}

Decimal Notation

9.52627 \dots

Solution steps

11 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}

= 11 \cdot \frac{3}{2}

Simplify

11 \cdot \frac{3}{2} : \frac{11 3}{2}

11 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 11}{2}

= \frac{11 3}{2}

cos (2 arcsin (\frac{12}{13}))

\frac{( 1 - cos ( 4 4 ^{\circ} ) )}{4}

\frac{cos ( \frac{π}{6} )}{1 - sin ( \frac{π}{6} )}

23 (cos (- \frac{5 π}{3}) + i sin (- \frac{5 π}{3}))

- cos (1 7^{\circ})