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If [cot^(-1)x]+[cos^(-1)x]=0 , where [] ...

If `[cot^(-1)x]+[cos^(-1)x]=0` , where `[]` denotes the greatest integer functions, then the complete set of values of `x` is `(cos1,1)` (b) `cos1,cos1)` `(cot1,1)` (d) none of these

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To solve the equation \([cot^{-1} x] + [cos^{-1} x] = 0\), where \([]\) denotes the greatest integer function, we will follow these steps: ### Step 1: Understand the Functions The equation involves the cotangent inverse function \(cot^{-1} x\) and the cosine inverse function \(cos^{-1} x\). We need to analyze the values of these functions. ### Step 2: Set Up the Equation We rewrite the equation: \[ ...
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