What is the value of sin(-2/3 pi) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(-2/3 pi)

sin (- \frac{2}{3} π)

- \frac{3}{2}

Decimal Notation

- 0.86602 \dots

Solution steps

sin (- \frac{2}{3} π)

Simplify:

- \frac{2}{3} π = - \frac{2 π}{3}

- \frac{2}{3} π

Multiply fractions:

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

= - \frac{2 π}{3}

= sin (- \frac{2 π}{3})

Use the following property:

sin (- x) = - sin (x)

sin (- \frac{2 π}{3}) = - sin (\frac{2 π}{3})

= - sin (\frac{2 π}{3})

Use the following trivial identity:

sin (\frac{2 π}{3}) = \frac{3}{2}

sin (\frac{2 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}

= - \frac{3}{2}

6 tan (4 5^{\circ}) - 8 cos (6 0^{\circ})

csc (\frac{37 π}{12})

sin (112 5^{\circ})

\frac{sin ( 1.047 )}{sin ( 0.524 )}

1 - cos^{2} (3 0^{\circ}) - cos^{2} (6 0^{\circ})