What is expand cos(2t)U(t-(5pi)/2) ?

The solution to expand cos(2t)U(t-(5pi)/2) is tUcos(2t)-(5piUcos(2t))/2

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expand cos(2t)U(t-(5pi)/2)

expand

cos (2 t) U (t - \frac{5 π}{2})

t U cos (2 t) - \frac{5 π U cos ( 2 t )}{2}

Solution steps

cos (2 t) U (t - \frac{5 π}{2})

= U cos (2 t) (t - \frac{5 π}{2})

Apply the distributive law:

a (b - c) = ab - a c

a = cos (2 t) U, b = t, c = \frac{5 π}{2}

= cos (2 t) U t - cos (2 t) U \frac{5 π}{2}

= t U cos (2 t) - \frac{5 π}{2} U cos (2 t)

Simplify

t U cos (2 t) - \frac{5 π}{2} U cos (2 t) : t U cos (2 t) - \frac{5 π U cos ( 2 t )}{2}

= t U cos (2 t) - \frac{5 π U cos ( 2 t )}{2}

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What is expand cos(2t)U(t-(5pi)/2) ?
The solution to expand cos(2t)U(t-(5pi)/2) is tUcos(2t)-(5piUcos(2t))/2