What is the value of -7sin(pi/3) ?

The value of -7sin(pi/3) is -(7sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-7sin(pi/3)

- 7 sin (\frac{π}{3})

- \frac{7 3}{2}

Decimal Notation

- 6.06217 \dots

Solution steps

- 7 sin (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

sin (\frac{π}{3})

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} 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}

= - 7 \cdot \frac{3}{2}

Simplify

- 7 \cdot \frac{3}{2} : - \frac{7 3}{2}

- 7 \cdot \frac{3}{2}

Multiply fractions:

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

= - \frac{3 \cdot 7}{2}

= - \frac{7 3}{2}

arctan (\frac{6.24}{9.8} + 0.1)

3 \cdot sin (2 \cdot 0)

1500 cos (3 0^{\circ})

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

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