sin(x)=2sin(x)cos(x)

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


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

Multiply ins * x
insx = 2sin(x) * cos(x)

Multiply ins * x
insx = 2insx * cos * x

Multiply insx * cos
insx = 2cinos2x * x

Multiply cinos2x * x
insx = 2cinos2x2

Solving
insx = 2cinos2x2

Solving for variable 'i'.

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

Add '-2cinos2x2' to each side of the equation.
-2cinos2x2 + insx = 2cinos2x2 + -2cinos2x2

Combine like terms: 2cinos2x2 + -2cinos2x2 = 0
-2cinos2x2 + insx = 0

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

Subproblem 1

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