What is the value of 1/pi sin(pi) ?

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1/pi sin(pi)

\frac{1}{π} sin (π)

0

Solution steps

\frac{1}{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

= \frac{1}{π} \cdot 0

Simplify

= 0

arctan (\frac{25}{15})

\frac{4 0 ^{2} sin ^{2} ( 4 0 ^{\circ} )}{2 \cdot 9.81}

5 \cdot sin (\frac{π}{4})

- arctan (\frac{20}{200})

(\frac{sin ( 2 ) ( \frac{π}{2} )}{2}) - (\frac{sin ( 2 ) ( \frac{π}{4} )}{2})