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Using induction, prove that cos theta ·...

Using induction, prove that `cos theta · cos 2theta · cos 2^2 theta. ... cos 2^(n-1) theta =(sin2^n theta)/(2^n sin theta)`

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To prove the statement using mathematical induction, we will follow these steps: ### Step 1: Base Case We need to verify the statement for \( n = 1 \). The left-hand side (LHS) for \( n = 1 \) is: \[ \cos \theta = \cos 2^{0} \theta ...
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