cosx(sinx-3cosx)=0

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Solution for cosx(sinx-3cosx)=0 equation:


Simplifying
cosx(sinx + -3cosx) = 0

Reorder the terms:
cosx(-3cosx + insx) = 0
(-3cosx * cosx + insx * cosx) = 0

Reorder the terms:
(cinos2x2 + -3c2o2s2x2) = 0
(cinos2x2 + -3c2o2s2x2) = 0

Solving
cinos2x2 + -3c2o2s2x2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'cos2x2'.
cos2x2(in + -3co) = 0

Subproblem 1

Set the factor 'cos2x2' equal to zero and attempt to solve: Simplifying cos2x2 = 0 Solving cos2x2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2x2 = 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 '(in + -3co)' equal to zero and attempt to solve: Simplifying in + -3co = 0 Reorder the terms: -3co + in = 0 Solving -3co + in = 0 Move all terms containing c to the left, all other terms to the right. Add '-1in' to each side of the equation. -3co + in + -1in = 0 + -1in Combine like terms: in + -1in = 0 -3co + 0 = 0 + -1in -3co = 0 + -1in Remove the zero: -3co = -1in Divide each side by '-3o'. c = 0.3333333333ino-1 Simplifying c = 0.3333333333ino-1

Solution

c = {0.3333333333ino-1}

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