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Simplifying cos(x + 30) = 2sinx Reorder the terms: cos(30 + x) = 2sinx (30 * cos + x * cos) = 2sinx (30cos + cosx) = 2sinx Solving 30cos + cosx = 2insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Combine like terms: 2insx + -2insx = 0 30cos + cosx + -2insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(30co + cox + -2inx) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing c 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 '(30co + cox + -2inx)' equal to zero and attempt to solve: Simplifying 30co + cox + -2inx = 0 Solving 30co + cox + -2inx = 0 Move all terms containing c to the left, all other terms to the right. Add '2inx' to each side of the equation. 30co + cox + -2inx + 2inx = 0 + 2inx Combine like terms: -2inx + 2inx = 0 30co + cox + 0 = 0 + 2inx 30co + cox = 0 + 2inx Remove the zero: 30co + cox = 2inx 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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