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Use the principle of mathematical induct...

Use the principle of mathematical induction to prove that for all `n in N`
`sqrt(2+sqrt(2+sqrt(2+...+...+sqrt2)))=2cos ((pi)/(2^(n+1)))`
when the LHS contains `n` radical signs.

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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 base case when \( n = 1 \). **Left Hand Side (LHS)**: \[ p(1) = \sqrt{2} ...
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