cos(6*t)-cos(t)^23 если t=-3/2 (упростите выражение)

$$- cos^{23}{left (t right )} + cos{left (6 t right )}$$

$$- cos^{23}{left (t right )} + cos{left (6 t right )}$$

cos(6*(-3/2)) – cos((-3/2))^23

$$- cos^{23}{left ((-3/2) right )} + cos{left (6 (-3/2) right )}$$

cos(6*(-3)/2) – cos(-3/2)^23

$$cos{left (frac{-18}{2} right )} – cos^{23}{left (- frac{3}{2} right )}$$

-cos(3/2)^23 + cos(9)

$$cos{left (9 right )} – cos^{23}{left (frac{3}{2} right )}$$

-cos(t)^23 + cos(6*t)

$$- frac{676039}{2097152} cos{left (t right )} – frac{572033}{2097152} cos{left (3 t right )} – frac{408595}{2097152} cos{left (5 t right )} + cos{left (6 t right )} – frac{245157}{2097152} cos{left (7 t right )} – frac{245157}{4194304} cos{left (9 t right )} – frac{100947}{4194304} cos{left (11 t right )} – frac{33649}{4194304} cos{left (13 t right )} – frac{8855}{4194304} cos{left (15 t right )} – frac{1771}{4194304} cos{left (17 t right )} – frac{253}{4194304} cos{left (19 t right )} – frac{23}{4194304} cos{left (21 t right )} – frac{1}{4194304} cos{left (23 t right )}$$

6 23 6 4 2 2 4
cos (t) – cos (t) – sin (t) – 15*cos (t)*sin (t) + 15*cos (t)*sin (t)

$$- sin^{6}{left (t right )} + 15 sin^{4}{left (t right )} cos^{2}{left (t right )} – 15 sin^{2}{left (t right )} cos^{4}{left (t right )} – cos^{23}{left (t right )} + cos^{6}{left (t right )}$$