What is expand cos(pi/2) ?

The solution to expand cos(pi/2) is 0

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expand cos(pi/2)

expand

cos (\frac{π}{2})

0

Solution steps

cos (\frac{π}{2})

Use the following trivial identity:

cos (\frac{π}{2}) = 0

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= 0

ln (x y)

(8 - 8 e^{- t}) \cdot (20 - 20 e^{- t})

\frac{y ^{2}}{x d x + ( y ^{2} - x ^{2} - y ) d y}

\frac{( x - 4 ) ^{2}}{x - 16}

- \frac{π x ^{2} ( 2 π x - 75 )}{2}