tan(3o-4)=tan(5o-8)

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Solution for tan(3o-4)=tan(5o-8) equation:


Simplifying
tan(3o + -4) = tan(5o + -8)

Reorder the terms:
ant(-4 + 3o) = tan(5o + -8)
(-4 * ant + 3o * ant) = tan(5o + -8)

Reorder the terms:
(3anot + -4ant) = tan(5o + -8)
(3anot + -4ant) = tan(5o + -8)

Reorder the terms:
3anot + -4ant = ant(-8 + 5o)
3anot + -4ant = (-8 * ant + 5o * ant)

Reorder the terms:
3anot + -4ant = (5anot + -8ant)
3anot + -4ant = (5anot + -8ant)

Solving
3anot + -4ant = 5anot + -8ant

Solving for variable 'a'.

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

Add '-5anot' to each side of the equation.
3anot + -5anot + -4ant = 5anot + -5anot + -8ant

Combine like terms: 3anot + -5anot = -2anot
-2anot + -4ant = 5anot + -5anot + -8ant

Combine like terms: 5anot + -5anot = 0
-2anot + -4ant = 0 + -8ant
-2anot + -4ant = -8ant

Add '8ant' to each side of the equation.
-2anot + -4ant + 8ant = -8ant + 8ant

Combine like terms: -4ant + 8ant = 4ant
-2anot + 4ant = -8ant + 8ant

Combine like terms: -8ant + 8ant = 0
-2anot + 4ant = 0

Factor out the Greatest Common Factor (GCF), '2ant'.
2ant(-1o + 2) = 0

Ignore the factor 2.

Subproblem 1

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