Question

Find all solutions to sin(2x) = sin(x)^2

Answer 1

sin(2x) = 2 sin(x) cos(x)
So 2 sin(x) cos(x) = sin(x) sin(x)

So first solution is sin(x) = 0
and 2 cos(x) = sin(x), tan(x) =2

use these to find all solutions

sin(x) = 0
tan(x) =2

Answer 2

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