2cos^2(x)tan(x)-tan(x)=0

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Solution for 2cos^2(x)tan(x)-tan(x)=0 equation:


Simplifying
2cos2(x) * tan(x) + -1tan(x) = 0

Multiply cos2 * x
2cos2x * ant * x + -1tan(x) = 0

Multiply cos2x * ant
2acnos2tx * x + -1tan(x) = 0

Multiply acnos2tx * x
2acnos2tx2 + -1tan(x) = 0

Multiply ant * x
2acnos2tx2 + -1antx = 0

Solving
2acnos2tx2 + -1antx = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'antx'.
antx(2cos2x + -1) = 0

Subproblem 1

Set the factor 'antx' equal to zero and attempt to solve: Simplifying antx = 0 Solving antx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying antx = 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 '(2cos2x + -1)' equal to zero and attempt to solve: Simplifying 2cos2x + -1 = 0 Reorder the terms: -1 + 2cos2x = 0 Solving -1 + 2cos2x = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2cos2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2cos2x = 0 + 1 2cos2x = 0 + 1 Combine like terms: 0 + 1 = 1 2cos2x = 1 Add '-2cos2x' to each side of the equation. 2cos2x + -2cos2x = 1 + -2cos2x Combine like terms: 2cos2x + -2cos2x = 0 0 = 1 + -2cos2x Simplifying 0 = 1 + -2cos2x 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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