What is expand cos(6t)U(t-pi/2) ?

The solution to expand cos(6t)U(t-pi/2) is tUcos(6t)-(piUcos(6t))/2

Popular >

expand cos(6t)U(t-pi/2)

expand

cos (6 t) U (t - \frac{π}{2})

t U cos (6 t) - \frac{π U cos ( 6 t )}{2}

Solution steps

cos (6 t) U (t - \frac{π}{2})

= U cos (6 t) (t - \frac{π}{2})

Apply the distributive law:

a (b - c) = ab - a c

a = cos (6 t) U, b = t, c = \frac{π}{2}

= cos (6 t) U t - cos (6 t) U \frac{π}{2}

= t U cos (6 t) - \frac{π}{2} U cos (6 t)

Simplify

t U cos (6 t) - \frac{π}{2} U cos (6 t) : t U cos (6 t) - \frac{π U cos ( 6 t )}{2}

= t U cos (6 t) - \frac{π U cos ( 6 t )}{2}

\frac{( - sin ( x ) + 1 ) ^{2}}{1 - sin ( x ) ∣ 1 - sin ( x ) ∣}

\frac{36000 x ^{2} - 1800 x + 90}{x ^{2} ( x - 0.1 ) ^{2}}

(x y + y) d x - (x^{2} y^{2} + x^{2} + y^{2} + 1) d y

\frac{( h + 1 ) ( 4 h ^{2} + 8 h + 3 )}{3}

π l (r^{2} - r^{2})

What is expand cos(6t)U(t-pi/2) ?
The solution to expand cos(6t)U(t-pi/2) is tUcos(6t)-(piUcos(6t))/2