What is x^{33}sin(3x-pi/2) ?

The solution to x^{33}sin(3x-pi/2) is -x^{33}cos(3x)

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simplify x^{33}sin(3x-pi/2)

simplify

x^{33} sin (3 x - \frac{π}{2})

- x^{33} cos (3 x)

Solution steps

x^{33} sin (3 x - \frac{π}{2})

Rewrite using trig identities

= x^{33} (- cos (3 x))

Remove parentheses:

(- a) = - a

= - x^{33} cos (3 x)

cos (10 t + \frac{11}{12} π)

sec (arccot (\frac{x}{3}))

sin (- x - \frac{π}{2})

x cos (- \frac{467 π}{1800})

4 - 4 \cdot sin^{2} (x)

What is x^{33}sin(3x-pi/2) ?
The solution to x^{33}sin(3x-pi/2) is -x^{33}cos(3x)