en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Trigonometry >

sin(pi*2)

Solution

sin (π \cdot 2)

Solution

0

Solution steps

sin (π 2)

sin (π 2) = sin (0)

sin (π 2)

Rewrite

π 2

as

2 π + 0

= sin (2 π + 0)

Apply the periodicity of

sin

:

sin (x + 2 π) = sin (x)

sin (2 π + 0) = sin (0)

= sin (0)

= sin (0)

Use the following trivial identity:

sin (0) = 0

sin (0)

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

cos(arcsin((sqrt(45))/7))

3sqrt(2)(cos((3pi)/4)+isin((3pi)/4))

(sin(570)+2cos(1170))/(cos(1980))

Frequently Asked Questions (FAQ)

What is the value of sin(pi*2) ?
The value of sin(pi*2) is 0