Find all solutions in the interval [0, 2π).

sin^2 x + sin x = 0

Question

Mathematics

Ryan Sparks

11 July, 13:03

Find all solutions in the interval [0, 2π).

sin^2 x + sin x = 0

+3

Answers (1)

Know the Answer?

Braylon Leonard · Answer 1

Factoring:-

sin x (sin x + 1) = 0

sin x = 0, or sinx + 1 = 0 giving sin x = - 1

when sin x = 0 x = 0, pi

when sin x = - 1, x = pi + pi/2 = 3pi/2

solutions in given interval are 0, pi and 3pi/2

Find all solutions in the interval [0, 2π).sin^2 x + sin x = 0

Find all solutions in the interval [0, 2π).

sin^2 x + sin x = 0