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If cos 2θ = sin 4θ, where 2θ and 4θ and are acute angles, find the value of θ.

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If cos 2θ = sin 4θ, where 2θ and 4θ and are acute angles, find the value of θ.

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Given: 2θ = sin 4θ, where 2θ and sin 4θ are acute angles. 

To find: The value of θ. 

Solution: since, sin(90° - θ) = cosθ So,

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