Lin(x)+sin(2x)=tan(x)

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Solution for Lin(x)+sin(2x)=tan(x) equation:


Simplifying
Lin(x) + sin(2x) = tan(x)

Multiply inL * x
inxL + sin(2x) = tan(x)

Remove parenthesis around (2x)
inxL + ins * 2x = tan(x)

Reorder the terms for easier multiplication:
inxL + 2ins * x = tan(x)

Multiply ins * x
inxL + 2insx = tan(x)

Reorder the terms:
2insx + inxL = tan(x)

Multiply ant * x
2insx + inxL = antx

Solving
2insx + inxL = antx

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Reorder the terms:
-1antx + 2insx + inxL = antx + -1antx

Combine like terms: antx + -1antx = 0
-1antx + 2insx + inxL = 0

Factor out the Greatest Common Factor (GCF), 'nx'.
nx(-1at + 2is + iL) = 0

Subproblem 1

Set the factor 'nx' equal to zero and attempt to solve: Simplifying nx = 0 Solving nx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1nx' to each side of the equation. nx + -1nx = 0 + -1nx Remove the zero: 0 = -1nx Simplifying 0 = -1nx 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 '(-1at + 2is + iL)' equal to zero and attempt to solve: Simplifying -1at + 2is + iL = 0 Reorder the terms: -1at + iL + 2is = 0 Solving -1at + iL + 2is = 0 Move all terms containing i to the left, all other terms to the right. Add 'at' to each side of the equation. -1at + iL + at + 2is = 0 + at Reorder the terms: -1at + at + iL + 2is = 0 + at Combine like terms: -1at + at = 0 0 + iL + 2is = 0 + at iL + 2is = 0 + at Remove the zero: iL + 2is = at 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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