What is (t+pi)e^{-inwt} ?

The solution to (t+pi)e^{-inwt} is (tcos(ntw)+picos(ntw))+i(-tsin(ntw)-pisin(ntw))

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simplify (t+pi)e^{-inwt}

simplify

(t + π) e^{- in wt}

(t cos (n tw) + π cos (n tw)) + i (- t sin (n tw) - π sin (n tw))

Solution steps

(t + π) e^{- in wt}

e^{- in wt} = cos (n tw) - i sin (n tw)

= (t + π) (cos (n tw) - i sin (n tw))

Rewrite

(t + π) (cos (tw n) - i sin (tw n))

in standard complex form:

(t cos (n tw) + π cos (n tw)) + (- t sin (n tw) - π sin (n tw)) i

= (t cos (n tw) + π cos (n tw)) + (- t sin (n tw) - π sin (n tw)) i

\frac{3 x ^{7}}{x ^{2}}

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1 5^{x (x + 3)}

\frac{16}{s ^{2} ( x + 4 )}

What is (t+pi)e^{-inwt} ?
The solution to (t+pi)e^{-inwt} is (tcos(ntw)+picos(ntw))+i(-tsin(ntw)-pisin(ntw))