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Simplifying Cos(x + 45) = 2sinx Reorder the terms: osC(45 + x) = 2sinx (45 * osC + x * osC) = 2sinx (45osC + osxC) = 2sinx Solving 45osC + osxC = 2insx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Reorder the terms: -2insx + 45osC + osxC = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 -2insx + 45osC + osxC = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-2inx + 45oC + oxC) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing o 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 '(-2inx + 45oC + oxC)' equal to zero and attempt to solve: Simplifying -2inx + 45oC + oxC = 0 Solving -2inx + 45oC + oxC = 0 Move all terms containing o to the left, all other terms to the right. Add '2inx' to each side of the equation. -2inx + 45oC + 2inx + oxC = 0 + 2inx Reorder the terms: -2inx + 2inx + 45oC + oxC = 0 + 2inx Combine like terms: -2inx + 2inx = 0 0 + 45oC + oxC = 0 + 2inx 45oC + oxC = 0 + 2inx Remove the zero: 45oC + oxC = 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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