What is [e^{-t}cos(3t-60)] ?

The solution to [e^{-t}cos(3t-60)] is e^{-t}(1/2 cos(3t)+(sqrt(3))/2 sin(3t))

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simplify [e^{-t}cos(3t-60)]

simplify

[e^{- t} cos (3 t - 6 0^{\circ})]

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

Solution steps

e^{- t} cos (3 t - 6 0^{\circ})

Rewrite using trig identities

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

4 (1 + sin (π - x))

2 sin (x + \frac{π}{2})

- 2 (sin (πn) - πn cos (πn))

sin (π + 2 y) - sin (0 + 2 y)

sin (tan (- 1) (x))

What is [e^{-t}cos(3t-60)] ?
The solution to [e^{-t}cos(3t-60)] is e^{-t}(1/2 cos(3t)+(sqrt(3))/2 sin(3t))