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Simplifying COT(45 + -1X) + COT(45 + -1X) = 4 (45 * COT + -1X * COT) + COT(45 + -1X) = 4 (45COT + -1COTX) + COT(45 + -1X) = 4 45COT + -1COTX + (45 * COT + -1X * COT) = 4 45COT + -1COTX + (45COT + -1COTX) = 4 Reorder the terms: 45COT + 45COT + -1COTX + -1COTX = 4 Combine like terms: 45COT + 45COT = 90COT 90COT + -1COTX + -1COTX = 4 Combine like terms: -1COTX + -1COTX = -2COTX 90COT + -2COTX = 4 Solving 90COT + -2COTX = 4 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Reorder the terms: -4 + 90COT + -2COTX = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 90COT + -2COTX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 45COT + -1COTX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 45COT + -1COTX)' equal to zero and attempt to solve: Simplifying -2 + 45COT + -1COTX = 0 Solving -2 + 45COT + -1COTX = 0 Move all terms containing C to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 45COT + 2 + -1COTX = 0 + 2 Reorder the terms: -2 + 2 + 45COT + -1COTX = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 45COT + -1COTX = 0 + 2 45COT + -1COTX = 0 + 2 Combine like terms: 0 + 2 = 2 45COT + -1COTX = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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