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please write clearly 1. Define the inverse cotangent function by restricting the domain of the cotangent function to the interval (0,Pi) and sketch the inverse

please write clearly

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1. Define the inverse cotangent function by restricting the domain of the cotangent function to the interval (0,Pi) and sketch the inverse function's graph. 2. Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. tan (x) = sin (x) cos (x)

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