-sinx(cotx)=cosx(cotx)

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Solution for -sinx(cotx)=cosx(cotx) equation: 


Simplifying
-1sinx(cotx) = cosx(cotx)

Multiply insx * cotx
-1cinostx2 = cosx(cotx)

Multiply cosx * cotx
-1cinostx2 = c2o2stx2

Solving
-1cinostx2 = c2o2stx2

Solving for variable 'c'.

Combine like terms: c2o2stx2 + -1c2o2stx2 = 0
-1cinostx2 + -1c2o2stx2 = 0

Factor out the Greatest Common Factor (GCF), '-1costx2'.
-1costx2(in + co) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'costx2' equal to zero and attempt to solve:

Simplifying
costx2 = 0

Solving
costx2 = 0

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

Simplifying
costx2 = 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 + co)' equal to zero and attempt to solve:

Simplifying
in + co = 0

Reorder the terms:
co + in = 0

Solving
co + in = 0

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

Add '-1in' to each side of the equation.
co + in + -1in = 0 + -1in

Combine like terms: in + -1in = 0
co + 0 = 0 + -1in
co = 0 + -1in
Remove the zero:
co = -1in

Divide each side by 'o'.
c = -1ino-1

Simplifying
c = -1ino-1
Solution
c = {-1ino-1}

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