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

The value of (sin(pi/2))/(pi/2) is 2/pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sin(pi/2))/(pi/2)

\frac{sin ( \frac{π}{2} )}{\frac{π}{2}}

\frac{2}{π}

Decimal Notation

0.63661 \dots

Solution steps

\frac{sin ( \frac{π}{2} )}{\frac{π}{2}}

Use the following trivial identity:

sin (\frac{π}{2}) = 1

sin (\frac{π}{2})

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}

= 1

= \frac{1}{\frac{π}{2}}

Simplify

= \frac{2}{π}

arccos (cos (2 π))

cosh (10)

cos (3 \cdot \frac{π}{2})

sin (π) + π cos (π)

arctan (\frac{2}{9})

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