What is expand 30(x+(12)/pi sin((pix)/(12))) ?

The solution to expand 30(x+(12)/pi sin((pix)/(12))) is 30x+(360)/pi sin((pix)/(12))

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expand 30(x+(12)/pi sin((pix)/(12)))

expand

30 (x + \frac{12}{π} sin (\frac{π x}{12}))

30 x + \frac{360}{π} sin (\frac{π x}{12})

Solution steps

30 (x + \frac{12}{π} sin (\frac{π x}{12}))

Apply the distributive law:

a (b + c) = ab + a c

a = 30, b = x, c = \frac{12}{π} sin (\frac{π x}{12})

= 30 x + 30 \cdot \frac{12}{π} sin (\frac{π x}{12})

30 \cdot \frac{12}{π} sin (\frac{π x}{12}) = \frac{360}{π} sin (\frac{π x}{12})

= 30 x + \frac{360}{π} sin (\frac{π x}{12})

\frac{( - a x ^{2} - 2 ) - a x ^{2} + 1}{3 a ^{2}}

(π - x) d x

\frac{5}{( x ^{2} + x + 1 ) ( x - 2 )}

\frac{7 x - 5}{( x - 2 ) ( x + 1 )}

144

What is expand 30(x+(12)/pi sin((pix)/(12))) ?
The solution to expand 30(x+(12)/pi sin((pix)/(12))) is 30x+(360)/pi sin((pix)/(12))