>
f10:= x
-> 2 *
sin(x) +
csc(x) -
3;
![f10 := proc (x) options operator, arrow; 2*sin(x)+c...](xxx.files/C1-14R62.gif)
>
plot(f10(x),
x =
0..Pi/2,
color =
black);
![[Maple Plot]](xxx.files/C1-14R63.gif)
>
factor(2
* sin(x)
* sin(x)
+ 1 - 3*
sin(x));
![(2*sin(x)-1)*(sin(x)-1)](xxx.files/C1-14R64.gif)
Применим
метод
разложения:
sin(x) =
1/2 OR
sin(x) =
1.
Мы
получили:
![1/6*Pi, 5/6*Pi, 1/2*Pi](xxx.files/C1-14R65.gif)
>
f10((1/6)*Pi);
![0](xxx.files/C1-14R66.gif)
>
f10((11/6)*Pi);
![-6](xxx.files/C1-14R67.gif)
>
f10((1/2)*Pi);
![0](xxx.files/C1-14R68.gif)
Решения:
.