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Simplifying SINx = COTx Solving xINS = xCOT Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xCOT' to each side of the equation. -1xCOT + xINS = xCOT + -1xCOT Combine like terms: xCOT + -1xCOT = 0 -1xCOT + xINS = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1COT + INS) = 0## Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0## Subproblem 2

Set the factor '(-1COT + INS)' equal to zero and attempt to solve: Simplifying -1COT + INS = 0 Solving -1COT + INS = 0 Move all terms containing x to the left, all other terms to the right. Add 'COT' to each side of the equation. -1COT + COT + INS = 0 + COT Combine like terms: -1COT + COT = 0 0 + INS = 0 + COT INS = 0 + COT Remove the zero: INS = COT Add '-1INS' to each side of the equation. INS + -1INS = COT + -1INS Combine like terms: INS + -1INS = 0 0 = COT + -1INS Simplifying 0 = COT + -1INS The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Solution

x = {0}

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