Решение 

 


Замена:  cos x = t  ⇒



x = `+`(`-`(`*`(`+`(`*`(2, `*`(Pi))), `/`(1, 3))), `*`(2, `*`(Pi, `*`(k)))), `in`(k, Z) 

Image 

Проверка 

> solve(`+`(`*`(4, `*`(`^`(t, 2))), `*`(8, `*`(t)), 3) = 0); 1
 

-`/`(1, 2), -`/`(3, 2) (8.2.1)
 

> with(RealDomain); -1; solve(`*`(`+`(`*`(4, `*`(RealDomain:-`^`(sin(x), 2))), `-`(`*`(8, `*`(cos(x)))), `-`(7)), `*`(RealDomain:-`^`(sqrt(cot(x)), -1))) = 0)
 

`+`(`*`(`/`(2, 3), `*`(Pi))), `+`(`-`(`*`(`/`(2, 3), `*`(Pi)))) (8.2.2)
 

> with(plots); -1; `assign`(a1, polarplot(1, theta = 0 .. `*`(`+`(`*`(2, `*`(Pi))), `/`(1, 3)), color = red, thickness = 10)); -1; `assign`(a2, polarplot(1, theta = `+`(`-`(`*`(`+`(`*`(2, `*`(Pi))), `/`...
with(plots); -1; `assign`(a1, polarplot(1, theta = 0 .. `*`(`+`(`*`(2, `*`(Pi))), `/`(1, 3)), color = red, thickness = 10)); -1; `assign`(a2, polarplot(1, theta = `+`(`-`(`*`(`+`(`*`(2, `*`(Pi))), `/`...