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

sin^2 x + sin x = 0

Question

Guadalupe Galloway

Mathematics

27 May, 20:03

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

sin^2 x + sin x = 0

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Answers (1)

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Alessandra · 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