What is the value of 5000cos(30) ?

The value of 5000cos(30) is 2500sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5000cos(30)

5000 cos (3 0^{\circ})

25003

Decimal Notation

4330.12701 \dots

Solution steps

5000 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}

= 5000 \cdot \frac{3}{2}

Simplify

5000 \cdot \frac{3}{2} : 25003

5000 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 5000}{2}

Divide the numbers:

\frac{5000}{2} = 2500

= 25003

= 25003

sin (\frac{7}{12 \cdot π}) - cos (\frac{π}{12})

sin (1) π

cos (\frac{π}{7}) - cos (\frac{2 π}{7}) + cos (\frac{3 π}{7})

22 sin (\frac{π}{6})

sin (15 0^{\circ}) + tan (22 5^{\circ}) + cos (30 0^{\circ})