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Simplifying sin(2b + -40) = cos(3b + 10) Reorder the terms: ins(-40 + 2b) = cos(3b + 10) (-40 * ins + 2b * ins) = cos(3b + 10) Reorder the terms: (2bins + -40ins) = cos(3b + 10) (2bins + -40ins) = cos(3b + 10) Reorder the terms: 2bins + -40ins = cos(10 + 3b) 2bins + -40ins = (10 * cos + 3b * cos) Reorder the terms: 2bins + -40ins = (3bcos + 10cos) 2bins + -40ins = (3bcos + 10cos) Solving 2bins + -40ins = 3bcos + 10cos 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 + -40ins = 3bcos + -3bcos + 10cos Reorder the terms: -3bcos + 2bins + -40ins = 3bcos + -3bcos + 10cos Combine like terms: 3bcos + -3bcos = 0 -3bcos + 2bins + -40ins = 0 + 10cos -3bcos + 2bins + -40ins = 10cos Add '40ins' to each side of the equation. -3bcos + 2bins + -40ins + 40ins = 10cos + 40ins Combine like terms: -40ins + 40ins = 0 -3bcos + 2bins + 0 = 10cos + 40ins -3bcos + 2bins = 10cos + 40ins Reorder the terms: -3bcos + 2bins + -10cos + -40ins = 10cos + -10cos + 40ins + -40ins Combine like terms: 10cos + -10cos = 0 -3bcos + 2bins + -10cos + -40ins = 0 + 40ins + -40ins -3bcos + 2bins + -10cos + -40ins = 40ins + -40ins Combine like terms: 40ins + -40ins = 0 -3bcos + 2bins + -10cos + -40ins = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-3bco + 2bin + -10co + -40in) = 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 + -10co + -40in)' equal to zero and attempt to solve: Simplifying -3bco + 2bin + -10co + -40in = 0 Solving -3bco + 2bin + -10co + -40in = 0 Move all terms containing b to the left, all other terms to the right. Add '10co' to each side of the equation. -3bco + 2bin + -10co + 10co + -40in = 0 + 10co Combine like terms: -10co + 10co = 0 -3bco + 2bin + 0 + -40in = 0 + 10co -3bco + 2bin + -40in = 0 + 10co Remove the zero: -3bco + 2bin + -40in = 10co Add '40in' to each side of the equation. -3bco + 2bin + -40in + 40in = 10co + 40in Combine like terms: -40in + 40in = 0 -3bco + 2bin + 0 = 10co + 40in -3bco + 2bin = 10co + 40in 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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