What is 2e^{4t}cos(6t-2/3 pi) ?

The solution to 2e^{4t}cos(6t-2/3 pi) is -e^{4t}cos(6t)+sqrt(3)e^{4t}sin(6t)

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simplify 2e^{4t}cos(6t-2/3 pi)

simplify

2 e^{4 t} cos (6 t - \frac{2}{3} π)

- e^{4 t} cos (6 t) + 3 e^{4 t} sin (6 t)

Solution steps

2 e^{4 t} cos (6 t - \frac{2}{3} π)

Rewrite using trig identities

= 2 e^{4 t} (- \frac{1}{2} cos (6 t) + \frac{3}{2} sin (6 t))

Simplify

2 e^{4 t} (- \frac{1}{2} cos (6 t) + \frac{3}{2} sin (6 t)) : - e^{4 t} cos (6 t) + 3 e^{4 t} sin (6 t)

= - e^{4 t} cos (6 t) + 3 e^{4 t} sin (6 t)

9 tan^{2} (x) + 9

cos (- 3 t)

sin (t^{2} - \frac{π}{2})

k^{2} - k^{2} sin^{2} (t)

cos (arcsin (ln (x)))

What is 2e^{4t}cos(6t-2/3 pi) ?
The solution to 2e^{4t}cos(6t-2/3 pi) is -e^{4t}cos(6t)+sqrt(3)e^{4t}sin(6t)