What is expand s(t-pi/3)cos(3t) ?

The solution to expand s(t-pi/3)cos(3t) is stcos(3t)-(piscos(3t))/3

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expand s(t-pi/3)cos(3t)

expand

s (t - \frac{π}{3}) cos (3 t)

s t cos (3 t) - \frac{π s cos ( 3 t )}{3}

Solution steps

s (t - \frac{π}{3}) cos (3 t)

= s cos (3 t) (t - \frac{π}{3})

Apply the distributive law:

a (b - c) = ab - a c

a = s cos (3 t), b = t, c = \frac{π}{3}

= s cos (3 t) t - s cos (3 t) \frac{π}{3}

= s t cos (3 t) - \frac{π}{3} s cos (3 t)

Simplify

s t cos (3 t) - \frac{π}{3} s cos (3 t) : s t cos (3 t) - \frac{π s cos ( 3 t )}{3}

= s t cos (3 t) - \frac{π s cos ( 3 t )}{3}

- \frac{6}{( 1 + x ) ^{4}}

\frac{( x + h ) ^{2} - 3 - x ^{2} - 3}{h}

\frac{4 x ^{2} - x + 6}{( x ^{2} + 2 ) ( x - 1 )}

(w + x \cdot y) (x \cdot, + w) (w + f)

\frac{1}{x ( a x + 1 )}

What is expand s(t-pi/3)cos(3t) ?
The solution to expand s(t-pi/3)cos(3t) is stcos(3t)-(piscos(3t))/3