If cos 2θ = 3/4, find the value of sin² θ.
We know cos 2θ = 1 - 2sin² θ. Given cos 2θ = 3/4, substituting: 3/4 = 1 - 2sin² θ. Thus, 2sin² θ = 1 - 3/4 = 1/4, so sin² θ = 1/8.
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