en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(3*pi/3)

Solution

sin (3 \cdot \frac{π}{3})

Solution

0

Solution steps

sin (3 \cdot \frac{π}{3})

Simplify:

3 \cdot \frac{π}{3} = π

3 \cdot \frac{π}{3}

Multiply fractions:

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

= \frac{π 3}{3}

Cancel the common factor:

3

= π

= sin (π)

Use the following trivial identity:

sin (π) = 0

sin (π)

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}

= 0

= 0

Popular Examples

\frac{1}{sin ( 5 0 ^{\circ} )}

(2tan(22.5))/(1-tan^2(22.5))

\frac{2 tan ( 22. 5 ^{\circ} )}{1 - tan ^{2} ( 22. 5 ^{\circ} )}

arctan (\frac{14}{12})

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

arctan (\frac{43}{74})

Frequently Asked Questions (FAQ)

What is the value of sin(3*pi/3) ?
The value of sin(3*pi/3) is 0