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If cos^(-1)(cos x)=(n-x)/n,xge0, has sev...

If `cos^(-1)(cos x)=(n-x)/n,xge0`, has seven roots, then find values of n.

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To solve the problem, we need to analyze the equation given: \[ \cos^{-1}(\cos x) = \frac{n - x}{n}, \quad x \geq 0 \] ### Step 1: Understanding the Left Side The function \(\cos^{-1}(\cos x)\) is defined as follows: ...
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