Решение 

 


Замена:  sin x = t  ⇒



x = `+`(`*`(`+`(`*`(5, `*`(Pi))), `/`(1, 6)), `*`(2, `*`(Pi, `*`(k)))), `in`(k, Z)
Image 

Проверка 

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

`/`(3, 2), `/`(1, 2) (19.2.1)
 

> solve(`/`(`*`(`+`(`*`(4, `*`(`^`(cos(x), 2))), `*`(8, `*`(sin(x))), `-`(7))), `*`(sqrt(`+`(`-`(tan(x)))))) = 0)
 

`+`(`*`(`/`(1, 6), `*`(Pi))), `+`(`*`(`/`(5, 6), `*`(Pi))), arctan(`/`(3, 2), `*`(`*`(`/`(1, 2), `*`(I)), `*`(`^`(5, `/`(1, 2))))), arctan(`/`(3, 2), `+`(`-`(`*`(`+`(`*`(`/`(1, 2), `*`(I))), `*`(`^`(5... (19.2.2)
 

> with(plots); -1; `assign`(a1, polarplot(1, theta = 0 .. `+`(`*`(`/`(1, 6), `*`(Pi))), color = red, thickness = 10)); -1; `assign`(a2, polarplot(1, theta = `+`(`*`(`/`(1, 6), `*`(Pi))) .. `*`(`+`(`*`(5...
with(plots); -1; `assign`(a1, polarplot(1, theta = 0 .. `+`(`*`(`/`(1, 6), `*`(Pi))), color = red, thickness = 10)); -1; `assign`(a2, polarplot(1, theta = `+`(`*`(`/`(1, 6), `*`(Pi))) .. `*`(`+`(`*`(5...