What is (1+kcos^2(w))*e^{-iwt} ?

The solution to (1+kcos^2(w))*e^{-iwt} is (cos(wt)+kcos(wt)cos^2(w))+i(-sin(wt)-ksin(wt)cos^2(w))

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simplify (1+kcos^2(w))*e^{-iwt}

simplify

(1 + k cos^{2} (w)) \cdot e^{- i wt}

(cos (wt) + k cos (wt) cos^{2} (w)) + i (- sin (wt) - k sin (wt) cos^{2} (w))

Solution steps

(1 + k cos^{2} (w)) e^{- i wt}

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

= (k cos^{2} (w) + 1) (cos (wt) - i sin (wt))

Rewrite

(1 + k cos^{2} (w)) (cos (wt) - i sin (wt))

in standard complex form:

(cos (wt) + k cos (wt) cos^{2} (w)) + (- sin (wt) - k sin (wt) cos^{2} (w)) i

= (cos (wt) + k cos (wt) cos^{2} (w)) + (- sin (wt) - k sin (wt) cos^{2} (w)) i

x (3 + Δ y, 4)

\frac{1}{3} (50 ln (5) - 24)

\frac{( 2 x ^{2} - 8 x + 8 ) ( x + 3 )}{x + 6}

x (x^{2} - 1)^{3} d z

(x + 2 π) (x - 2 π)

What is (1+kcos^2(w))*e^{-iwt} ?
The solution to (1+kcos^2(w))*e^{-iwt} is (cos(wt)+kcos(wt)cos^2(w))+i(-sin(wt)-ksin(wt)cos^2(w))