Cos(2x-10)=sin(5x-5)

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Solution for Cos(2x-10)=sin(5x-5) equation: 


Simplifying
Cos(2x + -10) = sin(5x + -5)

Reorder the terms:
osC(-10 + 2x) = sin(5x + -5)
(-10 * osC + 2x * osC) = sin(5x + -5)
(-10osC + 2osxC) = sin(5x + -5)

Reorder the terms:
-10osC + 2osxC = ins(-5 + 5x)
-10osC + 2osxC = (-5 * ins + 5x * ins)
-10osC + 2osxC = (-5ins + 5insx)

Solving
-10osC + 2osxC = -5ins + 5insx

Solving for variable 'o'.

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

Reorder the terms:
5ins + -5insx + -10osC + 2osxC = -5ins + 5insx + 5ins + -5insx

Reorder the terms:
5ins + -5insx + -10osC + 2osxC = -5ins + 5ins + 5insx + -5insx

Combine like terms: -5ins + 5ins = 0
5ins + -5insx + -10osC + 2osxC = 0 + 5insx + -5insx
5ins + -5insx + -10osC + 2osxC = 5insx + -5insx

Combine like terms: 5insx + -5insx = 0
5ins + -5insx + -10osC + 2osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(5in + -5inx + -10oC + 2oxC) = 0


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

Simplifying
s = 0

Solving
s = 0

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

Add '-1s' to each side of the equation.
s + -1s = 0 + -1s
Remove the zero:
0 = -1s

Simplifying
0 = -1s

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 '(5in + -5inx + -10oC + 2oxC)' equal to zero and attempt to solve:

Simplifying
5in + -5inx + -10oC + 2oxC = 0

Solving
5in + -5inx + -10oC + 2oxC = 0

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

Add '-5in' to each side of the equation.
5in + -5inx + -10oC + -5in + 2oxC = 0 + -5in

Reorder the terms:
5in + -5in + -5inx + -10oC + 2oxC = 0 + -5in

Combine like terms: 5in + -5in = 0
0 + -5inx + -10oC + 2oxC = 0 + -5in
-5inx + -10oC + 2oxC = 0 + -5in
Remove the zero:
-5inx + -10oC + 2oxC = -5in

Add '5inx' to each side of the equation.
-5inx + -10oC + 5inx + 2oxC = -5in + 5inx

Reorder the terms:
-5inx + 5inx + -10oC + 2oxC = -5in + 5inx

Combine like terms: -5inx + 5inx = 0
0 + -10oC + 2oxC = -5in + 5inx
-10oC + 2oxC = -5in + 5inx

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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