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Simplifying sin(2b + 10) = cos(3b + -25) Reorder the terms: ins(10 + 2b) = cos(3b + -25) (10 * ins + 2b * ins) = cos(3b + -25) Reorder the terms: (2bins + 10ins) = cos(3b + -25) (2bins + 10ins) = cos(3b + -25) Reorder the terms: 2bins + 10ins = cos(-25 + 3b) 2bins + 10ins = (-25 * cos + 3b * cos) Reorder the terms: 2bins + 10ins = (3bcos + -25cos) 2bins + 10ins = (3bcos + -25cos) Solving 2bins + 10ins = 3bcos + -25cos Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3bcos' to each side of the equation. 2bins + -3bcos + 10ins = 3bcos + -3bcos + -25cos Reorder the terms: -3bcos + 2bins + 10ins = 3bcos + -3bcos + -25cos Combine like terms: 3bcos + -3bcos = 0 -3bcos + 2bins + 10ins = 0 + -25cos -3bcos + 2bins + 10ins = -25cos Add '-10ins' to each side of the equation. -3bcos + 2bins + 10ins + -10ins = -25cos + -10ins Combine like terms: 10ins + -10ins = 0 -3bcos + 2bins + 0 = -25cos + -10ins -3bcos + 2bins = -25cos + -10ins Reorder the terms: -3bcos + 2bins + 25cos + 10ins = -25cos + 25cos + -10ins + 10ins Combine like terms: -25cos + 25cos = 0 -3bcos + 2bins + 25cos + 10ins = 0 + -10ins + 10ins -3bcos + 2bins + 25cos + 10ins = -10ins + 10ins Combine like terms: -10ins + 10ins = 0 -3bcos + 2bins + 25cos + 10ins = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-3bco + 2bin + 25co + 10in) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing b to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3bco + 2bin + 25co + 10in)' equal to zero and attempt to solve: Simplifying -3bco + 2bin + 25co + 10in = 0 Solving -3bco + 2bin + 25co + 10in = 0 Move all terms containing b to the left, all other terms to the right. Add '-25co' to each side of the equation. -3bco + 2bin + 25co + -25co + 10in = 0 + -25co Combine like terms: 25co + -25co = 0 -3bco + 2bin + 0 + 10in = 0 + -25co -3bco + 2bin + 10in = 0 + -25co Remove the zero: -3bco + 2bin + 10in = -25co Add '-10in' to each side of the equation. -3bco + 2bin + 10in + -10in = -25co + -10in Combine like terms: 10in + -10in = 0 -3bco + 2bin + 0 = -25co + -10in -3bco + 2bin = -25co + -10in 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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