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Simplifying Tan(3x + -20) = cot(5x + 30) Reorder the terms: anT(-20 + 3x) = cot(5x + 30) (-20 * anT + 3x * anT) = cot(5x + 30) (-20anT + 3anxT) = cot(5x + 30) Reorder the terms: -20anT + 3anxT = cot(30 + 5x) -20anT + 3anxT = (30 * cot + 5x * cot) -20anT + 3anxT = (30cot + 5cotx) Solving -20anT + 3anxT = 30cot + 5cotx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -20anT + 3anxT + -30cot + -5cotx = 30cot + -30cot + 5cotx + -5cotx Combine like terms: 30cot + -30cot = 0 -20anT + 3anxT + -30cot + -5cotx = 0 + 5cotx + -5cotx -20anT + 3anxT + -30cot + -5cotx = 5cotx + -5cotx Combine like terms: 5cotx + -5cotx = 0 -20anT + 3anxT + -30cot + -5cotx = 0 The solution to this equation could not be determined.
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