-asin((2-2*sin(x)^2)*1/(2*sqrt(3))) если x=-2 (упростите выражение)

$$- {asin}{left (frac{1}{2 sqrt{3}} left(- 2 sin^{2}{left (x right )} + 2right) right )}$$

$$- {asin}{left (frac{1}{2 sqrt{3}} left(- 2 sin^{2}{left (x right )} + 2right) right )}$$

-asin((2 – 2*sin((-2))^2)/(2*sqrt(3)))

$$- {asin}{left (frac{1}{2 sqrt{3}} left(- 2 sin^{2}{left ((-2) right )} + 2right) right )}$$

-asin((2 – 2*sin(-2)^2)/(2*sqrt(3)))

$$- {asin}{left (frac{1}{2 sqrt{3}} left(- 2 sin^{2}{left (-2 right )} + 2right) right )}$$

-asin(sqrt(3)*(2 – 2*sin(2)^2)/6)

$$- {asin}{left (frac{sqrt{3}}{6} left(- 2 sin^{2}{left (2 right )} + 2right) right )}$$

$$- {asin}{left (sqrt{3} left(- frac{1}{3} sin^{2}{left (x right )} + frac{1}{3}right) right )}$$

/ ___ / 2
|/ 3 *2 – 2*sin (x)/|
-asin|———————|
6 /

$$- {asin}{left (frac{sqrt{3}}{6} left(- 2 sin^{2}{left (x right )} + 2right) right )}$$

-asin((2 – 2*sin(x)^2)/(2*sqrt(3)))

$${asin}{left (frac{sqrt{3}}{3} left(sin^{2}{left (x right )} – 1right) right )}$$

$$- {asin}{left (frac{sqrt{3}}{3} left(- sin^{2}{left (x right )} + 1right) right )}$$

/ ___ 2
|/ 3 *cos (x)|
-asin|————-|
3 /

$$- {asin}{left (frac{sqrt{3}}{3} cos^{2}{left (x right )} right )}$$

$$- {asin}{left (frac{sqrt{3}}{6} cos{left (2 x right )} + frac{sqrt{3}}{6} right )}$$

/ ___ ___ 2
| / 3 / 3 *sin (x)|
asin|- —– + ————-|
3 3 /

$${asin}{left (frac{sqrt{3}}{3} sin^{2}{left (x right )} – frac{sqrt{3}}{3} right )}$$

/ ___ 2
|/ 3 *cos (x)|
-asin|————-|
3 /

$$- {asin}{left (frac{sqrt{3}}{3} cos^{2}{left (x right )} right )}$$

/ ___ ___ 2
| / 3 / 3 *sin (x)|
asin|- —– + ————-|
3 3 /

$${asin}{left (frac{sqrt{3}}{3} sin^{2}{left (x right )} – frac{sqrt{3}}{3} right )}$$

/ ___ / 2
|/ 3 *2 – 2*sin (x)/|
-asin|———————|
6 /

$$- {asin}{left (frac{sqrt{3}}{6} left(- 2 sin^{2}{left (x right )} + 2right) right )}$$