en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

12*cos(30)

Solution

12 \cdot cos (3 0^{\circ})

Solution

63

+1

Decimal Notation

10.39230 \dots

Solution steps

12 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}

= 12 \cdot \frac{3}{2}

Simplify

12 \cdot \frac{3}{2} : 63

12 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 12}{2}

Divide the numbers:

\frac{12}{2} = 6

= 63

= 63

Popular Examples

arcsin((10sin(48))/(17))

arcsin (\frac{10 sin ( 4 8 ^{\circ} )}{17})

arctan (tan (1))

tan(arcsin(-5/13))

tan (arcsin (- \frac{5}{13}))

sin(2arcsin(-1/2))

sin (2 arcsin (- \frac{1}{2}))

[3(cos(pi/(12))+sin(pi/(12)))]^3

[3 (cos (\frac{π}{12}) + sin (\frac{π}{12}))]^{3}

Frequently Asked Questions (FAQ)

What is the value of 12*cos(30) ?
The value of 12*cos(30) is 6sqrt(3)