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Simplifying s(t) = 4sin(pi * t) + 5cos(pi * t) Multiply s * t st = 4sin(pi * t) + 5cos(pi * t) Multiply ip * t st = 4ins(ipt) + 5cos(pi * t) Multiply ins * ipt st = 4i2npst + 5cos(pi * t) Multiply ip * t st = 4i2npst + 5cos(ipt) Multiply cos * ipt st = 4i2npst + 5ciopst Reorder the terms: st = 5ciopst + 4i2npst Solving st = 5ciopst + 4i2npst Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5ciopst' to each side of the equation. -5ciopst + st = 5ciopst + -5ciopst + 4i2npst Combine like terms: 5ciopst + -5ciopst = 0 -5ciopst + st = 0 + 4i2npst -5ciopst + st = 4i2npst Add '-4i2npst' to each side of the equation. -5ciopst + -4i2npst + st = 4i2npst + -4i2npst Combine like terms: 4i2npst + -4i2npst = 0 -5ciopst + -4i2npst + st = 0 Factor out the Greatest Common Factor (GCF), 'st'. st(-5ciop + -4i2np + 1) = 0Subproblem 1
Set the factor 'st' equal to zero and attempt to solve: Simplifying st = 0 Solving st = 0 Move all terms containing s to the left, all other terms to the right. Simplifying st = 0 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 '(-5ciop + -4i2np + 1)' equal to zero and attempt to solve: Simplifying -5ciop + -4i2np + 1 = 0 Reorder the terms: 1 + -5ciop + -4i2np = 0 Solving 1 + -5ciop + -4i2np = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5ciop + -1 + -4i2np = 0 + -1 Reorder the terms: 1 + -1 + -5ciop + -4i2np = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5ciop + -4i2np = 0 + -1 -5ciop + -4i2np = 0 + -1 Combine like terms: 0 + -1 = -1 -5ciop + -4i2np = -1 Add '5ciop' to each side of the equation. -5ciop + 5ciop + -4i2np = -1 + 5ciop Combine like terms: -5ciop + 5ciop = 0 0 + -4i2np = -1 + 5ciop -4i2np = -1 + 5ciop Add '4i2np' to each side of the equation. -4i2np + 4i2np = -1 + 5ciop + 4i2np Combine like terms: -4i2np + 4i2np = 0 0 = -1 + 5ciop + 4i2np Simplifying 0 = -1 + 5ciop + 4i2np 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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