sen(2x)=2sen(x)cos(x)

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Solution for sen(2x)=2sen(x)cos(x) equation:


Simplifying
sen(2x) = 2sen(x) * cos(x)

Remove parenthesis around (2x)
ens * 2x = 2sen(x) * cos(x)

Reorder the terms for easier multiplication:
2ens * x = 2sen(x) * cos(x)

Multiply ens * x
2ensx = 2sen(x) * cos(x)

Multiply ens * x
2ensx = 2ensx * cos * x

Multiply ensx * cos
2ensx = 2cenos2x * x

Multiply cenos2x * x
2ensx = 2cenos2x2

Solving
2ensx = 2cenos2x2

Solving for variable 'e'.

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

Add '-2cenos2x2' to each side of the equation.
-2cenos2x2 + 2ensx = 2cenos2x2 + -2cenos2x2

Combine like terms: 2cenos2x2 + -2cenos2x2 = 0
-2cenos2x2 + 2ensx = 0

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

Ignore the factor 2.

Subproblem 1

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