Find all solutions to the equation sin2x 5 sin x 0 Write y

Find all solutions to the equation. sin^2x + 5 sin x = 0 Write your answer in radians in terms of k, and use the \"or\" button as necessary Example: x = pi/5 + 2kpi, k Z or x = pi/7 + kpi, k Z.

Solution

sin^2x +5sinx =0

taking out sinx as common:

sinx( sinx +5)=0

sinx =-5 ( neglect as sinx cannot be greater than 1)

sinx =0

x = 2k*pi , x = pi +2k*pi