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Simplifying 2Pi * t + sin(2Pi * t) = f(t) Multiply iP * t 2itP + sin(2Pi * t) = f(t) Multiply iP * t 2itP + ins(2itP) = f(t) Remove parenthesis around (2itP) 2itP + ins * 2itP = f(t) Reorder the terms for easier multiplication: 2itP + 2ins * itP = f(t) Multiply ins * itP 2itP + 2i2nstP = f(t) Multiply f * t 2itP + 2i2nstP = ft Solving 2itP + 2i2nstP = ft Solving for variable 'i'. Reorder the terms: -1ft + 2itP + 2i2nstP = ft + -1ft Combine like terms: ft + -1ft = 0 -1ft + 2itP + 2i2nstP = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-1f + 2iP + 2i2nsP) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing i to the left, all other terms to the right. Add '-1t' to each side of the equation. t + -1t = 0 + -1t Remove the zero: 0 = -1t Simplifying 0 = -1t 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 '(-1f + 2iP + 2i2nsP)' equal to zero and attempt to solve: Simplifying -1f + 2iP + 2i2nsP = 0 Solving -1f + 2iP + 2i2nsP = 0 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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