What is expand cos(t)μ(t-pi/2) ?

The solution to expand cos(t)μ(t-pi/2) is tμcos(t)-(piμcos(t))/2

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expand cos(t)μ(t-pi/2)

expand

cos (t) μ (t - \frac{π}{2})

t μ cos (t) - \frac{π μ cos ( t )}{2}

Solution steps

cos (t) μ (t - \frac{π}{2})

= μ cos (t) (t - \frac{π}{2})

Apply the distributive law:

a (b - c) = ab - a c

a = cos (t) μ, b = t, c = \frac{π}{2}

= cos (t) μ t - cos (t) μ \frac{π}{2}

= t μ cos (t) - \frac{π}{2} μ cos (t)

Simplify

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

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

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What is expand cos(t)μ(t-pi/2) ?
The solution to expand cos(t)μ(t-pi/2) is tμcos(t)-(piμcos(t))/2