### Home > PC3 > Chapter 8 > Lesson 8.3.3 > Problem 8-117

8-117.

Yuka is trying to solve the following equation for

*θ*, but is so confused by all the symbols; she does not know what to do. Homework Help ✎= 3 Her friend Carlo suggests that she make the substitution

*u*= sin(*θ*). Make this substitution and write the equation in terms of*u*.Solve the equation for

*u*.Solve the equation for

*θ*if 0 ≤*θ*< 2*π*.

Note: *u* ≠ 0 because you would have division by zero.*u*^{2} − 4*u* = 3*u*^{2}*u*^{3} − 3*u*^{2} − 4*u* = 0*u*(*u*^{2} − 3*u* − 4) = 0