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Simplifying Acosx + Asinx + Bcosy + Bsiny = 0 Reorder the terms: cosxA + cosyB + insxA + insyB = 0 Solving cosxA + cosyB + insxA + insyB = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1insxA' to each side of the equation. cosxA + cosyB + insxA + -1insxA + insyB = 0 + -1insxA Combine like terms: insxA + -1insxA = 0 cosxA + cosyB + 0 + insyB = 0 + -1insxA cosxA + cosyB + insyB = 0 + -1insxA Remove the zero: cosxA + cosyB + insyB = -1insxA Add '-1insyB' to each side of the equation. cosxA + cosyB + insyB + -1insyB = -1insxA + -1insyB Combine like terms: insyB + -1insyB = 0 cosxA + cosyB + 0 = -1insxA + -1insyB cosxA + cosyB = -1insxA + -1insyB Reorder the terms: cosxA + cosyB + insxA + insyB = -1insxA + insxA + -1insyB + insyB Combine like terms: -1insxA + insxA = 0 cosxA + cosyB + insxA + insyB = 0 + -1insyB + insyB cosxA + cosyB + insxA + insyB = -1insyB + insyB Combine like terms: -1insyB + insyB = 0 cosxA + cosyB + insxA + insyB = 0 Factor out the Greatest Common Factor (GCF), 's'. s(coxA + coyB + inxA + inyB) = 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 '(coxA + coyB + inxA + inyB)' equal to zero and attempt to solve: Simplifying coxA + coyB + inxA + inyB = 0 Solving coxA + coyB + inxA + inyB = 0 Move all terms containing c to the left, all other terms to the right. Add '-1inxA' to each side of the equation. coxA + coyB + inxA + -1inxA + inyB = 0 + -1inxA Combine like terms: inxA + -1inxA = 0 coxA + coyB + 0 + inyB = 0 + -1inxA coxA + coyB + inyB = 0 + -1inxA Remove the zero: coxA + coyB + inyB = -1inxA Add '-1inyB' to each side of the equation. coxA + coyB + inyB + -1inyB = -1inxA + -1inyB Combine like terms: inyB + -1inyB = 0 coxA + coyB + 0 = -1inxA + -1inyB coxA + coyB = -1inxA + -1inyB 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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