Ambition
Find all solutions in the interval [0, 2π).
4 sin2 x  4 sin x + 1 = 0



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Callisto
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Do you mean\[4 sin^2 x  4 sin x + 1 = 0\]?

Ambition
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yes sorry

Callisto
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Nope :)
Treat sinx as a, you'll get
4a^2  4a +1 =0
Can you solve this equation?

Ambition
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not really

Callisto
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Can you factorize the left side?

Ambition
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no

Callisto
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Hint: use \(a^2 2ab +b^2 = (ab)^2\)