What is expand (40(4cos(40t)-sin(40t)))/(17) ?

The solution to expand (40(4cos(40t)-sin(40t)))/(17) is (160cos(40t))/(17)-(40sin(40t))/(17)

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expand (40(4cos(40t)-sin(40t)))/(17)

expand

\frac{40 ( 4 cos ( 40 t ) - sin ( 40 t ) )}{17}

\frac{160 cos ( 40 t )}{17} - \frac{40 sin ( 40 t )}{17}

Solution steps

\frac{40 ( 4 cos ( 40 t ) - sin ( 40 t ) )}{17}

Expand

40 (4 cos (40 t) - sin (40 t)) : 160 cos (40 t) - 40 sin (40 t)

= \frac{160 cos ( 40 t ) - 40 sin ( 40 t )}{17}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{160 cos ( 40 t ) - 40 sin ( 40 t )}{17} = \frac{160 cos ( 40 t )}{17} - \frac{40 sin ( 40 t )}{17}

= \frac{160 cos ( 40 t )}{17} - \frac{40 sin ( 40 t )}{17}

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

(- 2.9 e^{- (0.4 x - 2.4)} + 12.4)^{2}

\frac{d}{d x} ((e^{(- 0.5 x)}) \cdot (4 - x)) - 2

1 - 2 x + x^{2} (m + e)

\frac{d ^{2}}{d x ^{2}} ((y) (- 4 x^{5} + 4))

What is expand (40(4cos(40t)-sin(40t)))/(17) ?
The solution to expand (40(4cos(40t)-sin(40t)))/(17) is (160cos(40t))/(17)-(40sin(40t))/(17)