What is e^{t-pi/2}sin(2t-pi) ?

The solution to e^{t-pi/2}sin(2t-pi) is -e^{t-pi/2}sin(2t)

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simplify e^{t-pi/2}sin(2t-pi)

simplify

e^{t - \frac{π}{2}} sin (2 t - π)

- e^{t - \frac{π}{2}} sin (2 t)

Solution steps

e^{t - \frac{π}{2}} sin (2 t - π)

Rewrite using trig identities

= e^{t - \frac{π}{2}} (- sin (2 t))

Remove parentheses:

(- a) = - a

= - e^{t - \frac{π}{2}} sin (2 t)

tan (2 x - \frac{π}{2}) - 1

cot (arcsec (\frac{x}{a}))

cos ((t - π) + π)

cos (x - \frac{π}{5})

tan (t + π)

What is e^{t-pi/2}sin(2t-pi) ?
The solution to e^{t-pi/2}sin(2t-pi) is -e^{t-pi/2}sin(2t)