sinx*cosx=3cosx

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Solution for sinx*cosx=3cosx equation:


Simplifying
sinx * cosx = 3cosx

Multiply insx * cosx
cinos2x2 = 3cosx

Solving
cinos2x2 = 3cosx

Solving for variable 'c'.

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

Add '-3cosx' to each side of the equation.
cinos2x2 + -3cosx = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
cinos2x2 + -3cosx = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(insx + -3) = 0

Subproblem 1

Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(insx + -3)' equal to zero and attempt to solve: Simplifying insx + -3 = 0 Reorder the terms: -3 + insx = 0 Solving -3 + insx = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + insx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + insx = 0 + 3 insx = 0 + 3 Combine like terms: 0 + 3 = 3 insx = 3 Add '-1insx' to each side of the equation. insx + -1insx = 3 + -1insx Combine like terms: insx + -1insx = 0 0 = 3 + -1insx Simplifying 0 = 3 + -1insx 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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